51116524333056 has 2304 divisors, whose sum is σ = 197678976768000. Its totient is φ = 12999302184960.

The previous prime is 51116524332977. The next prime is 51116524333057. The reversal of 51116524333056 is 65033342561115.

51116524333056 is a `hidden beast` number, since 5 + 1 + 1 + 16 + 524 + 33 + 30 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×51116524333056² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51116524333057) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 184536188790 + ... + 184536189066.

It is an arithmetic number, because the mean of its divisors is an integer number (85798167000).

Almost surely, 2^{51116524333056} is an apocalyptic number.

51116524333056 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51116524333056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98839488384000).

51116524333056 is an abundant number, since it is smaller than the sum of its proper divisors (146562452434944).

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

51116524333056 is a wasteful number, since it uses less digits than its factorization.

51116524333056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 51116524333056 in words is "fifty-one trillion, one hundred sixteen billion, five hundred twenty-four million, three hundred thirty-three thousand, fifty-six".