10672656000 has 128 divisors (see below), whose sum is σ = 35380013760. Its totient is φ = 2846028800.

The previous prime is 10672655999. The next prime is 10672656013. The reversal of 10672656000 is 65627601.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×10672656000² (a number of 21 digits) contains 22 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, 63174 + ... + 159173.

Almost surely, 2^10672656000 is an apocalyptic number.

10672656000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10672656000 is an abundant number, since it is smaller than the sum of its proper divisors (24707357760).

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

10672656000 is an equidigital number, since it uses as much as digits as its factorization.

10672656000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222379 (or 222357 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The spelling of 10672656000 in words is "ten billion, six hundred seventy-two million, six hundred fifty-six thousand".