51314822607672 has 192 divisors, whose sum is σ = 155675612252160. Its totient is φ = 15163206739200.

The previous prime is 51314822607667. The next prime is 51314822607683. The reversal of 51314822607672 is 27670622841315.

51314822607672 is a `hidden beast` number, since 5 + 1 + 3 + 1 + 4 + 8 + 22 + 607 + 6 + 7 + 2 = 666.

It is a super-2 number, since 2×51314822607672² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2948908 + ... + 10551099.

It is an arithmetic number, because the mean of its divisors is an integer number (810810480480).

Almost surely, 2^{51314822607672} is an apocalyptic number.

51314822607672 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

51314822607672 is an abundant number, since it is smaller than the sum of its proper divisors (104360789644488).

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

51314822607672 is a wasteful number, since it uses less digits than its factorization.

51314822607672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13500194 (or 13500187 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 51314822607672 in words is "fifty-one trillion, three hundred fourteen billion, eight hundred twenty-two million, six hundred seven thousand, six hundred seventy-two".