50994662400 has 1056 divisors, whose sum is σ = 215652268800. Its totient is φ = 11678515200.

The previous prime is 50994662377. The next prime is 50994662417. The reversal of 50994662400 is 426649905.

50994662400 is a `hidden beast` number, since 509 + 9 + 46 + 62 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

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

It is a congruent number.

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, 144460624 + ... + 144460976.

Almost surely, 2^50994662400 is an apocalyptic number.

50994662400 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 50994662400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107826134400).

50994662400 is an abundant number, since it is smaller than the sum of its proper divisors (164657606400).

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

50994662400 is a wasteful number, since it uses less digits than its factorization.

50994662400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 50994662400 in words is "fifty billion, nine hundred ninety-four million, six hundred sixty-two thousand, four hundred".