51190934086656 has 1925 divisors, whose sum is σ = 193903415606911. Its totient is φ = 13500905693184.

The previous prime is 51190934086613. The next prime is 51190934086661. The reversal of 51190934086656 is 65668043909115.

The square root of 51190934086656 is 7154784.

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

51190934086656 is a `hidden beast` number, since 5 + 1 + 1 + 90 + 93 + 408 + 6 + 6 + 56 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 25381282784256 + 25809651302400 = 5037984^2 + 5080320^2 .

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

It is a Duffinian number.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 51190934086656 = 2184³ + 37128³ = 16380³ + 36036³.

It is a junction number, because it is equal to n+sod(n) for n = 51190934086593 and 51190934086602.

It is an unprimeable number.

It is a polite number, since it can be written in 174 ways as a sum of consecutive naturals, for example, 3937764160506 + ... + 3937764160518.

Almost surely, 2^{51190934086656} is an apocalyptic number.

51190934086656 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

51190934086656 is the 7154784-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51190934086656

51190934086656 is an abundant number, since it is smaller than the sum of its proper divisors (142712481520255).

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

51190934086656 is an frugal number, since it uses more digits than its factorization.

51190934086656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 63.

The spelling of 51190934086656 in words is "fifty-one trillion, one hundred ninety billion, nine hundred thirty-four million, eighty-six thousand, six hundred fifty-six".