10312652551264 has 96 divisors (see below), whose sum is σ = 23679454075200. Its totient is φ = 4329955491840.

The previous prime is 10312652551249. The next prime is 10312652551321. The reversal of 10312652551264 is 46215525621301.

10312652551264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10312652551264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199857 + ... + 4545904.

It is an arithmetic number, because the mean of its divisors is an integer number (246660979950).

Almost surely, 2^{10312652551264} is an apocalyptic number.

10312652551264 is a gapful number since it is divisible by the number (14) 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 10312652551264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11839727037600).

10312652551264 is an abundant number, since it is smaller than the sum of its proper divisors (13366801523936).

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

10312652551264 is a wasteful number, since it uses less digits than its factorization.

10312652551264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4745976 (or 4745968 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 43.

The spelling of 10312652551264 in words is "ten trillion, three hundred twelve billion, six hundred fifty-two million, five hundred fifty-one thousand, two hundred sixty-four".