166992109440 has 512 divisors, whose sum is σ = 597550141440. Its totient is φ = 39388446720.

The previous prime is 166992109433. The next prime is 166992109463. The reversal of 166992109440 is 44901299661.

It is a super-2 number, since 2×166992109440² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82791312 + ... + 82793328.

It is an arithmetic number, because the mean of its divisors is an integer number (1167090120).

Almost surely, 2^166992109440 is an apocalyptic number.

166992109440 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 166992109440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298775070720).

166992109440 is an abundant number, since it is smaller than the sum of its proper divisors (430558032000).

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

166992109440 is a wasteful number, since it uses less digits than its factorization.

166992109440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2190 (or 2178 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 51.

The spelling of 166992109440 in words is "one hundred sixty-six billion, nine hundred ninety-two million, one hundred nine thousand, four hundred forty".