10179085680 has 120 divisors (see below), whose sum is σ = 34242013728. Its totient is φ = 2709877248.

The previous prime is 10179085633. The next prime is 10179085723. The reversal of 10179085680 is 8658097101.

10179085680 is a `hidden beast` number, since 10 + 1 + 79 + 0 + 8 + 568 + 0 = 666.

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

It is a super-2 number, since 2×10179085680² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

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, 429829 + ... + 452891.

Almost surely, 2^10179085680 is an apocalyptic number.

10179085680 is a gapful number since it is divisible by the number (10) 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 10179085680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17121006864).

10179085680 is an abundant number, since it is smaller than the sum of its proper divisors (24062928048).

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

10179085680 is a wasteful number, since it uses less digits than its factorization.

10179085680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23695 (or 23686 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The spelling of 10179085680 in words is "ten billion, one hundred seventy-nine million, eighty-five thousand, six hundred eighty".