49928900939568 has 720 divisors, whose sum is σ = 169254738432000. Its totient is φ = 13685122160640.

The previous prime is 49928900939527. The next prime is 49928900939587. The reversal of 49928900939568 is 86593900982994.

It is a happy number.

49928900939568 is a `hidden beast` number, since 4 + 9 + 92 + 89 + 0 + 0 + 9 + 395 + 68 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12180749583 + ... + 12180753681.

It is an arithmetic number, because the mean of its divisors is an integer number (235076025600).

Almost surely, 2^{49928900939568} is an apocalyptic number.

49928900939568 is a gapful number since it is divisible by the number (48) 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 49928900939568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84627369216000).

49928900939568 is an abundant number, since it is smaller than the sum of its proper divisors (119325837492432).

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

49928900939568 is a wasteful number, since it uses less digits than its factorization.

49928900939568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4630 (or 4614 counting only the distinct ones).

The product of its (nonzero) digits is 2720977920, while the sum is 81.

The spelling of 49928900939568 in words is "forty-nine trillion, nine hundred twenty-eight billion, nine hundred million, nine hundred thirty-nine thousand, five hundred sixty-eight".