51397680087936 has 576 divisors, whose sum is σ = 188938100183040. Its totient is φ = 13118149324800.

The previous prime is 51397680087907. The next prime is 51397680087947. The reversal of 51397680087936 is 63978008679315.

51397680087936 is a `hidden beast` number, since 51 + 397 + 6 + 80 + 0 + 87 + 9 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 41639001 + ... + 42855591.

It is an arithmetic number, because the mean of its divisors is an integer number (328017535040).

Almost surely, 2^{51397680087936} is an apocalyptic number.

51397680087936 is a gapful number since it is divisible by the number (56) 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 51397680087936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94469050091520).

51397680087936 is an abundant number, since it is smaller than the sum of its proper divisors (137540420095104).

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

51397680087936 is a wasteful number, since it uses less digits than its factorization.

51397680087936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216675 (or 1216647 counting only the distinct ones).

The product of its (nonzero) digits is 411505920, while the sum is 72.

The spelling of 51397680087936 in words is "fifty-one trillion, three hundred ninety-seven billion, six hundred eighty million, eighty-seven thousand, nine hundred thirty-six".