166807987200 has 528 divisors, whose sum is σ = 615157234560. Its totient is φ = 44294307840.

The previous prime is 166807987139. The next prime is 166807987201. The reversal of 166807987200 is 2789708661.

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

It is not an unprimeable number, because it can be changed into a prime (166807987201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 257817277 + ... + 257817923.

It is an arithmetic number, because the mean of its divisors is an integer number (1165070520).

Almost surely, 2^166807987200 is an apocalyptic number.

166807987200 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 166807987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307578617280).

166807987200 is an abundant number, since it is smaller than the sum of its proper divisors (448349247360).

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

166807987200 is a wasteful number, since it uses less digits than its factorization.

166807987200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1059 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 166807987200 in words is "one hundred sixty-six billion, eight hundred seven million, nine hundred eighty-seven thousand, two hundred".