51915974400 has 648 divisors, whose sum is σ = 192318357504. Its totient is φ = 13353984000.

The previous prime is 51915974393. The next prime is 51915974419. The reversal of 51915974400 is 447951915.

51915974400 is a `hidden beast` number, since 5 + 19 + 1 + 597 + 4 + 40 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 343814325 + ... + 343814475.

Almost surely, 2^51915974400 is an apocalyptic number.

51915974400 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 51915974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96159178752).

51915974400 is an abundant number, since it is smaller than the sum of its proper divisors (140402383104).

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

51915974400 is a wasteful number, since it uses less digits than its factorization.

51915974400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 51915974400 in words is "fifty-one billion, nine hundred fifteen million, nine hundred seventy-four thousand, four hundred".