21207165590016 has 800 divisors, whose sum is σ = 74691699996672. Its totient is φ = 5863994818560.

The previous prime is 21207165589937. The next prime is 21207165590099. The reversal of 21207165590016 is 61009556170212.

It is a happy number.

21207165590016 is a `hidden beast` number, since 2 + 1 + 20 + 71 + 6 + 559 + 0 + 0 + 1 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2051573200 + ... + 2051583536.

Almost surely, 2^{21207165590016} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21207165590016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37345849998336).

21207165590016 is an abundant number, since it is smaller than the sum of its proper divisors (53484534406656).

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

21207165590016 is a wasteful number, since it uses less digits than its factorization.

21207165590016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10602 (or 10577 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 21207165590016 in words is "twenty-one trillion, two hundred seven billion, one hundred sixty-five million, five hundred ninety thousand, sixteen".