49869680160 has 384 divisors, whose sum is σ = 165821644800. Its totient is φ = 12582604800.

The previous prime is 49869680153. The next prime is 49869680173. The reversal of 49869680160 is 6108696894.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 49869680160.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 184020825 + ... + 184021095.

It is an arithmetic number, because the mean of its divisors is an integer number (431827200).

Almost surely, 2^49869680160 is an apocalyptic number.

49869680160 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 49869680160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82910822400).

49869680160 is an abundant number, since it is smaller than the sum of its proper divisors (115951964640).

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

49869680160 is a wasteful number, since it uses less digits than its factorization.

49869680160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 57.

The spelling of 49869680160 in words is "forty-nine billion, eight hundred sixty-nine million, six hundred eighty thousand, one hundred sixty".