50652896400 has 1200 divisors, whose sum is σ = 203612682240. Its totient is φ = 12018585600.

The previous prime is 50652896387. The next prime is 50652896401. The reversal of 50652896400 is 469825605.

50652896400 is a `hidden beast` number, since 506 + 5 + 2 + 89 + 64 + 0 + 0 = 666.

50652896400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (50652896401) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1077721177 + ... + 1077721223.

Almost surely, 2^50652896400 is an apocalyptic number.

50652896400 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 50652896400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101806341120).

50652896400 is an abundant number, since it is smaller than the sum of its proper divisors (152959785840).

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

50652896400 is a wasteful number, since it uses less digits than its factorization.

50652896400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 50652896400 in words is "fifty billion, six hundred fifty-two million, eight hundred ninety-six thousand, four hundred".