51295606560 has 192 divisors, whose sum is σ = 195856133760. Its totient is φ = 12435287040.

The previous prime is 51295606553. The next prime is 51295606567. The reversal of 51295606560 is 6560659215.

51295606560 is a `hidden beast` number, since 5 + 1 + 29 + 5 + 60 + 6 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (51295606553) and next prime (51295606567).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (51295606567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 492207 + ... + 587246.

It is an arithmetic number, because the mean of its divisors is an integer number (1020084030).

Almost surely, 2^51295606560 is an apocalyptic number.

It is an amenable number.

51295606560 is an abundant number, since it is smaller than the sum of its proper divisors (144560527200).

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

51295606560 is a wasteful number, since it uses less digits than its factorization.

51295606560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079488 (or 1079474 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The spelling of 51295606560 in words is "fifty-one billion, two hundred ninety-five million, six hundred six thousand, five hundred sixty".