166497357600 has 576 divisors, whose sum is σ = 694935521280. Its totient is φ = 37683532800.

The previous prime is 166497357563. The next prime is 166497357641. The reversal of 166497357600 is 6753794661.

It is a happy number.

166497357600 is a `hidden beast` number, since 1 + 6 + 64 + 9 + 7 + 3 + 576 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15568255 + ... + 15578945.

It is an arithmetic number, because the mean of its divisors is an integer number (1206485280).

Almost surely, 2^166497357600 is an apocalyptic number.

166497357600 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 166497357600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347467760640).

166497357600 is an abundant number, since it is smaller than the sum of its proper divisors (528438163680).

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

166497357600 is a wasteful number, since it uses less digits than its factorization.

166497357600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10830 (or 10811 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 166497357600 in words is "one hundred sixty-six billion, four hundred ninety-seven million, three hundred fifty-seven thousand, six hundred".