50735462400 has 1152 divisors, whose sum is σ = 219360960000. Its totient is φ = 11488296960.

The previous prime is 50735462399. The next prime is 50735462417. The reversal of 50735462400 is 426453705.

50735462400 is a `hidden beast` number, since 5 + 0 + 73 + 546 + 2 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

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, 474163147 + ... + 474163253.

It is an arithmetic number, because the mean of its divisors is an integer number (190417500).

Almost surely, 2^50735462400 is an apocalyptic number.

50735462400 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 50735462400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109680480000).

50735462400 is an abundant number, since it is smaller than the sum of its proper divisors (168625497600).

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

50735462400 is a wasteful number, since it uses less digits than its factorization.

50735462400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 50735462400 in words is "fifty billion, seven hundred thirty-five million, four hundred sixty-two thousand, four hundred".