51901311168 has 840 divisors, whose sum is σ = 192480895200. Its totient is φ = 13818470400.

The previous prime is 51901311079. The next prime is 51901311169. The reversal of 51901311168 is 86111310915.

51901311168 is a `hidden beast` number, since 519 + 0 + 131 + 1 + 1 + 6 + 8 = 666.

It is a super-2 number, since 2×51901311168² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (51901311169) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 513874318 + ... + 513874418.

Almost surely, 2^51901311168 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 51901311168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96240447600).

51901311168 is an abundant number, since it is smaller than the sum of its proper divisors (140579584032).

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

51901311168 is a wasteful number, since it uses less digits than its factorization.

51901311168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 36.

The spelling of 51901311168 in words is "fifty-one billion, nine hundred one million, three hundred eleven thousand, one hundred sixty-eight".