51576456960 has 216 divisors, whose sum is σ = 203942225760. Its totient is φ = 11788886016.

The previous prime is 51576456959. The next prime is 51576457001. The reversal of 51576456960 is 6965467515.

51576456960 is a `hidden beast` number, since 5 + 1 + 5 + 76 + 4 + 569 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 51576456897 and 51576456906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 239155 + ... + 400434.

Almost surely, 2^51576456960 is an apocalyptic number.

It is an amenable number.

51576456960 is an abundant number, since it is smaller than the sum of its proper divisors (152365768800).

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

51576456960 is a wasteful number, since it uses less digits than its factorization.

51576456960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639623 (or 639606 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

It can be divided in two parts, 51576 and 456960, that added together give a triangular number (508536 = T₁₀₀₈).

The spelling of 51576456960 in words is "fifty-one billion, five hundred seventy-six million, four hundred fifty-six thousand, nine hundred sixty".