166705862400 has 2592 divisors, whose sum is σ = 825212183040. Its totient is φ = 32115916800.

The previous prime is 166705862381. The next prime is 166705862437. The reversal of 166705862400 is 4268507661.

166705862400 is a `hidden beast` number, since 1 + 6 + 67 + 0 + 586 + 2 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 2488147167 + ... + 2488147233.

Almost surely, 2^166705862400 is an apocalyptic number.

166705862400 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 166705862400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412606091520).

166705862400 is an abundant number, since it is smaller than the sum of its proper divisors (658506320640).

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

166705862400 is a wasteful number, since it uses less digits than its factorization.

166705862400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 166705862400 in words is "one hundred sixty-six billion, seven hundred five million, eight hundred sixty-two thousand, four hundred".