49957131680 has 192 divisors, whose sum is σ = 127554134400. Its totient is φ = 18428497920.

The previous prime is 49957131649. The next prime is 49957131701. The reversal of 49957131680 is 8613175994.

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 31 ways as a sum of consecutive naturals, for example, 60261506 + ... + 60262334.

It is an arithmetic number, because the mean of its divisors is an integer number (664344450).

Almost surely, 2^49957131680 is an apocalyptic number.

49957131680 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 49957131680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63777067200).

49957131680 is an abundant number, since it is smaller than the sum of its proper divisors (77597002720).

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

49957131680 is a wasteful number, since it uses less digits than its factorization.

49957131680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367 (or 1359 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 53.

The spelling of 49957131680 in words is "forty-nine billion, nine hundred fifty-seven million, one hundred thirty-one thousand, six hundred eighty".