166521008096 has 96 divisors (see below), whose sum is σ = 348370243200. Its totient is φ = 78131934720.

The previous prime is 166521008009. The next prime is 166521008111. The reversal of 166521008096 is 690800125661.

It is a super-2 number, since 2×166521008096² (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 15 ways as a sum of consecutive naturals, for example, 41493386 + ... + 41497398.

It is an arithmetic number, because the mean of its divisors is an integer number (3628856700).

Almost surely, 2^166521008096 is an apocalyptic number.

166521008096 is a gapful number since it is divisible by the number (16) 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 166521008096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174185121600).

166521008096 is an abundant number, since it is smaller than the sum of its proper divisors (181849235104).

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

166521008096 is a wasteful number, since it uses less digits than its factorization.

166521008096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4672 (or 4664 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 44.

The spelling of 166521008096 in words is "one hundred sixty-six billion, five hundred twenty-one million, eight thousand, ninety-six".