49859377476480 has 4608 divisors, whose sum is σ = 235934836300800. Its totient is φ = 9932577177600.

The previous prime is 49859377476431. The next prime is 49859377476511. The reversal of 49859377476480 is 8467477395894.

49859377476480 is a `hidden beast` number, since 4 + 9 + 8 + 5 + 93 + 7 + 7 + 47 + 6 + 480 = 666.

49859377476480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×49859377476480² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 49859377476480.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 79016445765 + ... + 79016446395.

It is an arithmetic number, because the mean of its divisors is an integer number (51201136350).

Almost surely, 2^{49859377476480} is an apocalyptic number.

49859377476480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49859377476480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117967418150400).

49859377476480 is an abundant number, since it is smaller than the sum of its proper divisors (186075458824320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

49859377476480 is a wasteful number, since it uses less digits than its factorization.

49859377476480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 10241925120, while the sum is 81.

The spelling of 49859377476480 in words is "forty-nine trillion, eight hundred fifty-nine billion, three hundred seventy-seven million, four hundred seventy-six thousand, four hundred eighty".