10179881712 has 1200 divisors, whose sum is σ = 43103491200. Its totient is φ = 2273080320.

The previous prime is 10179881671. The next prime is 10179881713. The reversal of 10179881712 is 21718897101.

10179881712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10179881713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 172540339 + ... + 172540397.

It is an arithmetic number, because the mean of its divisors is an integer number (35919576).

Almost surely, 2^10179881712 is an apocalyptic number.

10179881712 is a gapful number since it is divisible by the number (12) 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 10179881712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21551745600).

10179881712 is an abundant number, since it is smaller than the sum of its proper divisors (32923609488).

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

10179881712 is a wasteful number, since it uses less digits than its factorization.

10179881712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 45.

The spelling of 10179881712 in words is "ten billion, one hundred seventy-nine million, eight hundred eighty-one thousand, seven hundred twelve".