166632615411600 has 480 divisors, whose sum is σ = 577935077537664. Its totient is φ = 40796972236800.

The previous prime is 166632615411599. The next prime is 166632615411623. The reversal of 166632615411600 is 6114516236661.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 166632615411600.

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, 2250933787 + ... + 2251007813.

Almost surely, 2^{166632615411600} is an apocalyptic number.

166632615411600 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 166632615411600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288967538768832).

166632615411600 is an abundant number, since it is smaller than the sum of its proper divisors (411302462126064).

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

166632615411600 is a wasteful number, since it uses less digits than its factorization.

166632615411600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74835 (or 74824 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 166632615411600 in words is "one hundred sixty-six trillion, six hundred thirty-two billion, six hundred fifteen million, four hundred eleven thousand, six hundred".