51675972660 has 576 divisors, whose sum is σ = 185980354560. Its totient is φ = 11506682880.

The previous prime is 51675972617. The next prime is 51675972661. The reversal of 51675972660 is 6627957615.

51675972660 is a `hidden beast` number, since 516 + 7 + 59 + 72 + 6 + 6 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 51675972597 and 51675972606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51675972661) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 78415411 + ... + 78416069.

It is an arithmetic number, because the mean of its divisors is an integer number (322882560).

Almost surely, 2^51675972660 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 51675972660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92990177280).

51675972660 is an abundant number, since it is smaller than the sum of its proper divisors (134304381900).

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

51675972660 is a wasteful number, since it uses less digits than its factorization.

51675972660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 51675972660 in words is "fifty-one billion, six hundred seventy-five million, nine hundred seventy-two thousand, six hundred sixty".