166787812800 has 504 divisors, whose sum is σ = 702593114496. Its totient is φ = 38122306560.

The previous prime is 166787812757. The next prime is 166787812813. The reversal of 166787812800 is 8218787661.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2690959 + ... + 2752241.

Almost surely, 2^166787812800 is an apocalyptic number.

166787812800 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 166787812800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351296557248).

166787812800 is an abundant number, since it is smaller than the sum of its proper divisors (535805301696).

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

166787812800 is an equidigital number, since it uses as much as digits as its factorization.

166787812800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61327 (or 61300 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 166787812800 in words is "one hundred sixty-six billion, seven hundred eighty-seven million, eight hundred twelve thousand, eight hundred".