10064835568032 has 96 divisors (see below), whose sum is σ = 30196102938624. Its totient is φ = 2875515283200.

The previous prime is 10064835568013. The next prime is 10064835568043. The reversal of 10064835568032 is 23086553846001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×10064835568032³ (a number of 40 digits) contains 333 as substring.

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, 12644557 + ... + 13416947.

It is an arithmetic number, because the mean of its divisors is an integer number (314542738944).

Almost surely, 2^{10064835568032} is an apocalyptic number.

10064835568032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10064835568032 is an abundant number, since it is smaller than the sum of its proper divisors (20131267370592).

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

10064835568032 is a wasteful number, since it uses less digits than its factorization.

10064835568032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791802 (or 791794 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 51.

The spelling of 10064835568032 in words is "ten trillion, sixty-four billion, eight hundred thirty-five million, five hundred sixty-eight thousand, thirty-two".