5112406033056 has 288 divisors, whose sum is σ = 17029313054208. Its totient is φ = 1424513986560.

The previous prime is 5112406033043. The next prime is 5112406033213. The reversal of 5112406033056 is 6503306042115.

5112406033056 is a `hidden beast` number, since 5 + 1 + 1 + 2 + 40 + 603 + 3 + 0 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×5112406033056² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5112406033056.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26529306 + ... + 26721318.

It is an arithmetic number, because the mean of its divisors is an integer number (59129559216).

Almost surely, 2^{5112406033056} is an apocalyptic number.

5112406033056 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 5112406033056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8514656527104).

5112406033056 is an abundant number, since it is smaller than the sum of its proper divisors (11916907021152).

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

5112406033056 is a wasteful number, since it uses less digits than its factorization.

5112406033056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192364 (or 192353 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 5112406033056 in words is "five trillion, one hundred twelve billion, four hundred six million, thirty-three thousand, fifty-six".