166515370038072 has 320 divisors, whose sum is σ = 521796834662400. Its totient is φ = 49178945007360.

The previous prime is 166515370038037. The next prime is 166515370038163. The reversal of 166515370038072 is 270830073515661.

166515370038072 is a `hidden beast` number, since 1 + 6 + 6 + 5 + 1 + 537 + 0 + 0 + 38 + 0 + 72 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 79028998 + ... + 81108650.

It is an arithmetic number, because the mean of its divisors is an integer number (1630615108320).

Almost surely, 2^{166515370038072} is an apocalyptic number.

166515370038072 is a gapful number since it is divisible by the number (12) 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 166515370038072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260898417331200).

166515370038072 is an abundant number, since it is smaller than the sum of its proper divisors (355281464624328).

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

166515370038072 is a wasteful number, since it uses less digits than its factorization.

166515370038072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2079968 (or 2079955 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 166515370038072 in words is "one hundred sixty-six trillion, five hundred fifteen billion, three hundred seventy million, thirty-eight thousand, seventy-two".