50076576000 has 864 divisors, whose sum is σ = 203562777600. Its totient is φ = 12114432000.

The previous prime is 50076575993. The next prime is 50076576013. The reversal of 50076576000 is 67567005.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 104543761 + ... + 104544239.

Almost surely, 2^50076576000 is an apocalyptic number.

50076576000 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 50076576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101781388800).

50076576000 is an abundant number, since it is smaller than the sum of its proper divisors (153486201600).

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

50076576000 is a wasteful number, since it uses less digits than its factorization.

50076576000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

It can be divided in two parts, 500 and 76576000, that added together give a triangular number (76576500 = T₁₂₃₇₅).

The spelling of 50076576000 in words is "fifty billion, seventy-six million, five hundred seventy-six thousand".