10127612264 has 256 divisors, whose sum is σ = 25719275520. Its totient is φ = 3622798080.

The previous prime is 10127612233. The next prime is 10127612309. The reversal of 10127612264 is 46221672101.

10127612264 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 10127612264.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 44614919 + ... + 44615145.

It is an arithmetic number, because the mean of its divisors is an integer number (100465920).

Almost surely, 2^10127612264 is an apocalyptic number.

10127612264 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 10127612264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12859637760).

10127612264 is an abundant number, since it is smaller than the sum of its proper divisors (15591663256).

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

10127612264 is a wasteful number, since it uses less digits than its factorization.

10127612264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The spelling of 10127612264 in words is "ten billion, one hundred twenty-seven million, six hundred twelve thousand, two hundred sixty-four".