8972168161600 has 168 divisors, whose sum is σ = 25264638856448. Its totient is φ = 3072072960000.

The previous prime is 8972168161591. The next prime is 8972168161633. The reversal of 8972168161600 is 61618612798.

It is a congruent number.

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, 7877854 + ... + 8944546.

Almost surely, 2^{8972168161600} is an apocalyptic number.

8972168161600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8972168161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12632319428224).

8972168161600 is an abundant number, since it is smaller than the sum of its proper divisors (16292470694848).

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

8972168161600 is a wasteful number, since it uses less digits than its factorization.

8972168161600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067473 (or 1067458 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 55.

The spelling of 8972168161600 in words is "eight trillion, nine hundred seventy-two billion, one hundred sixty-eight million, one hundred sixty-one thousand, six hundred".