51916864687632 has 360 divisors, whose sum is σ = 174890708197920. Its totient is φ = 14325628584960.

The previous prime is 51916864687619. The next prime is 51916864687651. The reversal of 51916864687632 is 23678646861915.

51916864687632 is a `hidden beast` number, since 5 + 1 + 9 + 1 + 68 + 6 + 468 + 76 + 32 = 666.

51916864687632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 71 ways as a sum of consecutive naturals, for example, 26042007 + ... + 27964617.

It is an arithmetic number, because the mean of its divisors is an integer number (485807522772).

Almost surely, 2^{51916864687632} 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 51916864687632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87445354098960).

51916864687632 is an abundant number, since it is smaller than the sum of its proper divisors (122973843510288).

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

51916864687632 is a wasteful number, since it uses less digits than its factorization.

51916864687632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1922771 (or 1922755 counting only the distinct ones).

The product of its digits is 627056640, while the sum is 72.

The spelling of 51916864687632 in words is "fifty-one trillion, nine hundred sixteen billion, eight hundred sixty-four million, six hundred eighty-seven thousand, six hundred thirty-two".