5106056616720 has 120 divisors (see below), whose sum is σ = 17151804475416. Its totient is φ = 1361300312064.

The previous prime is 5106056616719. The next prime is 5106056616737. The reversal of 5106056616720 is 276166506015.

5106056616720 is a `hidden beast` number, since 5 + 1 + 0 + 6 + 0 + 5 + 6 + 616 + 7 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 595496195856 + 4510560420864 = 771684^2 + 2123808^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2305054 + ... + 3940226.

Almost surely, 2^{5106056616720} is an apocalyptic number.

It is an amenable number.

5106056616720 is an abundant number, since it is smaller than the sum of its proper divisors (12045747858696).

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

5106056616720 is a wasteful number, since it uses less digits than its factorization.

5106056616720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1639529 (or 1639520 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 5106056616720 in words is "five trillion, one hundred six billion, fifty-six million, six hundred sixteen thousand, seven hundred twenty".