10073508000 has 96 divisors (see below), whose sum is σ = 33000851520. Its totient is φ = 2686265600.

The previous prime is 10073507971. The next prime is 10073508031. The reversal of 10073508000 is 80537001.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 407730 + ... + 431729.

It is an arithmetic number, because the mean of its divisors is an integer number (343758870).

Almost surely, 2^10073508000 is an apocalyptic number.

10073508000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10073508000 is an abundant number, since it is smaller than the sum of its proper divisors (22927343520).

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

10073508000 is an equidigital number, since it uses as much as digits as its factorization.

10073508000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839487 (or 839469 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The spelling of 10073508000 in words is "ten billion, seventy-three million, five hundred eight thousand".