10096724681952 has 144 divisors (see below), whose sum is σ = 28874596649472. Its totient is φ = 3085586161920.

The previous prime is 10096724681929. The next prime is 10096724681993. The reversal of 10096724681952 is 25918642769001.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 3624718 + ... + 5773389.

It is an arithmetic number, because the mean of its divisors is an integer number (200518032288).

Almost surely, 2^{10096724681952} is an apocalyptic number.

10096724681952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10096724681952 is an abundant number, since it is smaller than the sum of its proper divisors (18777871967520).

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

10096724681952 is a wasteful number, since it uses less digits than its factorization.

10096724681952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9398189 (or 9398162 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 60.

The spelling of 10096724681952 in words is "ten trillion, ninety-six billion, seven hundred twenty-four million, six hundred eighty-one thousand, nine hundred fifty-two".