10006860216960 has 192 divisors, whose sum is σ = 35834752306080. Its totient is φ = 2668496016384.

The previous prime is 10006860216929. The next prime is 10006860216971. The reversal of 10006860216960 is 6961206860001.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32016742 + ... + 32327781.

Almost surely, 2^{10006860216960} is an apocalyptic number.

10006860216960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10006860216960 is an abundant number, since it is smaller than the sum of its proper divisors (25827892089120).

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

10006860216960 is an frugal number, since it uses more digits than its factorization.

10006860216960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64344557 (or 64344533 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 10006860216960 in words is "ten trillion, six billion, eight hundred sixty million, two hundred sixteen thousand, nine hundred sixty".