51978697436160 has 1408 divisors, whose sum is σ = 212862301470720. Its totient is φ = 11910360268800.

The previous prime is 51978697436111. The next prime is 51978697436221. The reversal of 51978697436160 is 6163479687915.

51978697436160 is a `hidden beast` number, since 5 + 1 + 9 + 78 + 69 + 7 + 436 + 1 + 60 = 666.

51978697436160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1408).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2027000299 + ... + 2027025941.

It is an arithmetic number, because the mean of its divisors is an integer number (151180611840).

Almost surely, 2^{51978697436160} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51978697436160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106431150735360).

51978697436160 is an abundant number, since it is smaller than the sum of its proper divisors (160883604034560).

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

51978697436160 is a wasteful number, since it uses less digits than its factorization.

51978697436160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25762 (or 25738 counting only the distinct ones).

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

The spelling of 51978697436160 in words is "fifty-one trillion, nine hundred seventy-eight billion, six hundred ninety-seven million, four hundred thirty-six thousand, one hundred sixty".