10163584992 has 96 divisors (see below), whose sum is σ = 30108516480. Its totient is φ = 2973662720.

The previous prime is 10163584979. The next prime is 10163584999. The reversal of 10163584992 is 29948536101.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10163584999) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135318 + ... + 196565.

It is an arithmetic number, because the mean of its divisors is an integer number (313630380).

Almost surely, 2^10163584992 is an apocalyptic number.

10163584992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10163584992 is an abundant number, since it is smaller than the sum of its proper divisors (19944931488).

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

10163584992 is a wasteful number, since it uses less digits than its factorization.

10163584992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331936 (or 331928 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The spelling of 10163584992 in words is "ten billion, one hundred sixty-three million, five hundred eighty-four thousand, nine hundred ninety-two".