10212567680 has 64 divisors (see below), whose sum is σ = 27902206080. Its totient is φ = 3501450240.

The previous prime is 10212567679. The next prime is 10212567733. The reversal of 10212567680 is 8676521201.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1135316 + ... + 1144275.

It is an arithmetic number, because the mean of its divisors is an integer number (435971970).

Almost surely, 2^10212567680 is an apocalyptic number.

10212567680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10212567680 is an abundant number, since it is smaller than the sum of its proper divisors (17689638400).

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

10212567680 is an equidigital number, since it uses as much as digits as its factorization.

10212567680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2279617 (or 2279605 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The spelling of 10212567680 in words is "ten billion, two hundred twelve million, five hundred sixty-seven thousand, six hundred eighty".