210156680164032 has 448 divisors, whose sum is σ = 718826934159360. Its totient is φ = 58968004313088.

The previous prime is 210156680164027. The next prime is 210156680164063. The reversal of 210156680164032 is 230461086651012.

210156680164032 is a `hidden beast` number, since 2 + 1 + 0 + 1 + 566 + 8 + 0 + 16 + 40 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 205230133 + ... + 206251595.

Almost surely, 2^{210156680164032} 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 210156680164032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359413467079680).

210156680164032 is an abundant number, since it is smaller than the sum of its proper divisors (508670253995328).

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

210156680164032 is a wasteful number, since it uses less digits than its factorization.

210156680164032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1021797 (or 1021781 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 210156680164032 in words is "two hundred ten trillion, one hundred fifty-six billion, six hundred eighty million, one hundred sixty-four thousand, thirty-two".