50672109600 has 864 divisors, whose sum is σ = 221115847680. Its totient is φ = 11071779840.

The previous prime is 50672109571. The next prime is 50672109629. The reversal of 50672109600 is 690127605.

It is an interprime number because it is at equal distance from previous prime (50672109571) and next prime (50672109629).

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 31297591 + ... + 31299209.

It is an arithmetic number, because the mean of its divisors is an integer number (255921120).

Almost surely, 2^50672109600 is an apocalyptic number.

50672109600 is a gapful number since it is divisible by the number (50) 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 50672109600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110557923840).

50672109600 is an abundant number, since it is smaller than the sum of its proper divisors (170443738080).

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

50672109600 is a wasteful number, since it uses less digits than its factorization.

50672109600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1684 (or 1659 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 50672109600 in words is "fifty billion, six hundred seventy-two million, one hundred nine thousand, six hundred".