51292467340416 has 112 divisors (see below), whose sum is σ = 153206233504710. Its totient is φ = 17097489082368.

The previous prime is 51292467340379. The next prime is 51292467340463. The reversal of 51292467340416 is 61404376429215.

51292467340416 is a `hidden beast` number, since 5 + 1 + 292 + 4 + 6 + 7 + 340 + 4 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 44205158500416 + 7087308840000 = 6648696^2 + 2662200^2 .

It is a super-3 number, since 3×51292467340416³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 274750585 + ... + 274937208.

Almost surely, 2^{51292467340416} is an apocalyptic number.

It is an amenable number.

51292467340416 is an abundant number, since it is smaller than the sum of its proper divisors (101913766164294).

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

51292467340416 is an frugal number, since it uses more digits than its factorization.

51292467340416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549687825 (or 549687798 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 51292467340416 in words is "fifty-one trillion, two hundred ninety-two billion, four hundred sixty-seven million, three hundred forty thousand, four hundred sixteen".