10312264872 has 576 divisors, whose sum is σ = 38091755520. Its totient is φ = 2539579392.

The previous prime is 10312264871. The next prime is 10312264883. The reversal of 10312264872 is 27846221301.

It is a happy number.

10312264872 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 2 + 2 + 648 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10312264871) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 81198873 + ... + 81198999.

It is an arithmetic number, because the mean of its divisors is an integer number (66131520).

Almost surely, 2^10312264872 is an apocalyptic number.

10312264872 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 10312264872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19045877760).

10312264872 is an abundant number, since it is smaller than the sum of its proper divisors (27779490648).

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

10312264872 is a wasteful number, since it uses less digits than its factorization.

10312264872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 10312264872 in words is "ten billion, three hundred twelve million, two hundred sixty-four thousand, eight hundred seventy-two".