10179817920 has 84 divisors (see below), whose sum is σ = 35014341960. Its totient is φ = 2714617344.

The previous prime is 10179817919. The next prime is 10179817931. The reversal of 10179817920 is 2971897101.

It is a happy number.

It is a super-3 number, since 3×10179817920³ (a number of 31 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 11 ways as a sum of consecutive naturals, for example, 1764450 + ... + 1770209.

Almost surely, 2^10179817920 is an apocalyptic number.

10179817920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10179817920 is an abundant number, since it is smaller than the sum of its proper divisors (24834524040).

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

10179817920 is a wasteful number, since it uses less digits than its factorization.

10179817920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3534682 (or 3534669 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 45.

The spelling of 10179817920 in words is "ten billion, one hundred seventy-nine million, eight hundred seventeen thousand, nine hundred twenty".