166202982400 has 675 divisors, whose sum is σ = 520670021991. Its totient is φ = 52600504320.

The previous prime is 166202982397. The next prime is 166202982433. The reversal of 166202982400 is 4289202661.

The square root of 166202982400 is 407680.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 42839064576 + 123363917824 = 206976^2 + 351232^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 12784844794 + ... + 12784844806.

Almost surely, 2^166202982400 is an apocalyptic number.

166202982400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

166202982400 is the 407680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166202982400

166202982400 is an abundant number, since it is smaller than the sum of its proper divisors (354467039591).

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

166202982400 is an frugal number, since it uses more digits than its factorization.

166202982400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The spelling of 166202982400 in words is "one hundred sixty-six billion, two hundred two million, nine hundred eighty-two thousand, four hundred".