166528580400 has 1440 divisors, whose sum is σ = 751278248448. Its totient is φ = 34488115200.

The previous prime is 166528580329. The next prime is 166528580419. The reversal of 166528580400 is 4085825661.

166528580400 is a `hidden beast` number, since 1 + 6 + 6 + 5 + 28 + 580 + 40 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 287 ways as a sum of consecutive naturals, for example, 592628260 + ... + 592628540.

Almost surely, 2^166528580400 is an apocalyptic number.

166528580400 is a gapful number since it is divisible by the number (10) 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 166528580400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375639124224).

166528580400 is an abundant number, since it is smaller than the sum of its proper divisors (584749668048).

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

166528580400 is a wasteful number, since it uses less digits than its factorization.

166528580400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 166528580400 in words is "one hundred sixty-six billion, five hundred twenty-eight million, five hundred eighty thousand, four hundred".