10185504976560 has 40 divisors (see below), whose sum is σ = 31575065428080. Its totient is φ = 2716134660352.

The previous prime is 10185504976481. The next prime is 10185504976561. The reversal of 10185504976560 is 6567940558101.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×10185504976560² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 10185504976560.

It is not an unprimeable number, because it can be changed into a prime (10185504976561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21219801795 + ... + 21219802274.

It is an arithmetic number, because the mean of its divisors is an integer number (789376635702).

Almost surely, 2^{10185504976560} is an apocalyptic number.

10185504976560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10185504976560 is an abundant number, since it is smaller than the sum of its proper divisors (21389560451520).

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

10185504976560 is a wasteful number, since it uses less digits than its factorization.

10185504976560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42439604085 (or 42439604079 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 57.

The spelling of 10185504976560 in words is "ten trillion, one hundred eighty-five billion, five hundred four million, nine hundred seventy-six thousand, five hundred sixty".