10506615605556 has 72 divisors (see below), whose sum is σ = 28908613702080. Its totient is φ = 2960768377728.

The previous prime is 10506615605539. The next prime is 10506615605609. The reversal of 10506615605556 is 65550651660501.

It is a super-2 number, since 2×10506615605556² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10506615605499 and 10506615605508.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122343336 + ... + 122429183.

It is an arithmetic number, because the mean of its divisors is an integer number (401508523640).

Almost surely, 2^{10506615605556} is an apocalyptic number.

It is an amenable number.

10506615605556 is an abundant number, since it is smaller than the sum of its proper divisors (18401998096524).

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

10506615605556 is a wasteful number, since it uses less digits than its factorization.

10506615605556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244772613 (or 244772604 counting only the distinct ones).

The product of its (nonzero) digits is 4050000, while the sum is 51.

The spelling of 10506615605556 in words is "ten trillion, five hundred six billion, six hundred fifteen million, six hundred five thousand, five hundred fifty-six".