49059773280 has 768 divisors, whose sum is σ = 207886694400. Its totient is φ = 10567065600.

The previous prime is 49059773249. The next prime is 49059773293. The reversal of 49059773280 is 8237795094.

49059773280 is a `hidden beast` number, since 49 + 0 + 597 + 7 + 3 + 2 + 8 + 0 = 666.

It is a super-2 number, since 2×49059773280² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 37708630 + ... + 37709930.

It is an arithmetic number, because the mean of its divisors is an integer number (270685800).

Almost surely, 2^49059773280 is an apocalyptic number.

49059773280 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 49059773280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103943347200).

49059773280 is an abundant number, since it is smaller than the sum of its proper divisors (158826921120).

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

49059773280 is a wasteful number, since it uses less digits than its factorization.

49059773280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1404 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 49059773280 in words is "forty-nine billion, fifty-nine million, seven hundred seventy-three thousand, two hundred eighty".