51609349274364 has 192 divisors, whose sum is σ = 162232277401600. Its totient is φ = 13859451781056.

The previous prime is 51609349274323. The next prime is 51609349274437. The reversal of 51609349274364 is 46347294390615.

It is a happy number.

51609349274364 is a `hidden beast` number, since 5 + 16 + 0 + 9 + 3 + 492 + 74 + 3 + 64 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12321304 + ... + 15969759.

Almost surely, 2^{51609349274364} is an apocalyptic number.

51609349274364 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

51609349274364 is an abundant number, since it is smaller than the sum of its proper divisors (110622928127236).

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

51609349274364 is a wasteful number, since it uses less digits than its factorization.

51609349274364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28291229 (or 28291221 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 63.

The spelling of 51609349274364 in words is "fifty-one trillion, six hundred nine billion, three hundred forty-nine million, two hundred seventy-four thousand, three hundred sixty-four".