51798118464 has 315 divisors, whose sum is σ = 160495422087. Its totient is φ = 16517716992.

The previous prime is 51798118451. The next prime is 51798118481. The reversal of 51798118464 is 46481189715.

The square root of 51798118464 is 227592.

It is a perfect power (a square), and thus also a powerful number.

51798118464 is a `hidden beast` number, since 5 + 179 + 8 + 1 + 1 + 8 + 464 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2620620864 + 49177497600 = 51192^2 + 221760^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 51798118464.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 475212042 + ... + 475212150.

Almost surely, 2^51798118464 is an apocalyptic number.

51798118464 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

51798118464 is the 227592-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51798118464

51798118464 is an abundant number, since it is smaller than the sum of its proper divisors (108697303623).

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

51798118464 is an equidigital number, since it uses as much as digits as its factorization.

51798118464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 143 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 54.

The spelling of 51798118464 in words is "fifty-one billion, seven hundred ninety-eight million, one hundred eighteen thousand, four hundred sixty-four".