166461590305920 has 1024 divisors, whose sum is σ = 671910045004800. Its totient is φ = 34110246223872.

The previous prime is 166461590305867. The next prime is 166461590305939. The reversal of 166461590305920 is 29503095164661.

It is a super-2 number, since 2×166461590305920² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3600781366 + ... + 3600827594.

It is an arithmetic number, because the mean of its divisors is an integer number (656162153325).

Almost surely, 2^{166461590305920} is an apocalyptic number.

166461590305920 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 166461590305920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335955022502400).

166461590305920 is an abundant number, since it is smaller than the sum of its proper divisors (505448454698880).

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

166461590305920 is a wasteful number, since it uses less digits than its factorization.

166461590305920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46865 (or 46853 counting only the distinct ones).

The product of its (nonzero) digits is 10497600, while the sum is 57.

The spelling of 166461590305920 in words is "one hundred sixty-six trillion, four hundred sixty-one billion, five hundred ninety million, three hundred five thousand, nine hundred twenty".