10296972675 has 288 divisors, whose sum is σ = 22462562304. Its totient is φ = 4451328000.

The previous prime is 10296972661. The next prime is 10296972703. The reversal of 10296972675 is 57627969201.

10296972675 is a `hidden beast` number, since 1 + 0 + 296 + 97 + 267 + 5 = 666.

10296972675 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 101474²-1.

It is not a de Polignac number, because 10296972675 - 2⁵ = 10296972643 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 81078462 + ... + 81078588.

It is an arithmetic number, because the mean of its divisors is an integer number (77995008).

Almost surely, 2^10296972675 is an apocalyptic number.

10296972675 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10296972675 is an abundant number, since it is smaller than the sum of its proper divisors (12165589629).

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

10296972675 is a wasteful number, since it uses less digits than its factorization.

10296972675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 10296972675 in words is "ten billion, two hundred ninety-six million, nine hundred seventy-two thousand, six hundred seventy-five".