56124500510106 has 240 divisors, whose sum is σ = 146807980298496. Its totient is φ = 15979158873216.

The previous prime is 56124500510093. The next prime is 56124500510123. The reversal of 56124500510106 is 60101500542165.

56124500510106 is a `hidden beast` number, since 5 + 6 + 124 + 5 + 0 + 0 + 510 + 10 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5021422390 + ... + 5021433566.

Almost surely, 2^{56124500510106} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56124500510106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73403990149248).

56124500510106 is an abundant number, since it is smaller than the sum of its proper divisors (90683479788390).

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

56124500510106 is a wasteful number, since it uses less digits than its factorization.

56124500510106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13375 (or 13359 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 56124500510106 in words is "fifty-six trillion, one hundred twenty-four billion, five hundred million, five hundred ten thousand, one hundred six".