50781416400 has 960 divisors, whose sum is σ = 214816250880. Its totient is φ = 11232000000.

The previous prime is 50781416351. The next prime is 50781416447. The reversal of 50781416400 is 461418705.

It is a happy number.

50781416400 is a `hidden beast` number, since 5 + 0 + 7 + 8 + 1 + 4 + 1 + 640 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 202316275 + ... + 202316525.

It is an arithmetic number, because the mean of its divisors is an integer number (223766928).

Almost surely, 2^50781416400 is an apocalyptic number.

50781416400 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 50781416400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107408125440).

50781416400 is an abundant number, since it is smaller than the sum of its proper divisors (164034834480).

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

50781416400 is a wasteful number, since it uses less digits than its factorization.

50781416400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 50781416400 in words is "fifty billion, seven hundred eighty-one million, four hundred sixteen thousand, four hundred".