39966087180672 has 320 divisors, whose sum is σ = 120197992543200. Its totient is φ = 13181128704000.

The previous prime is 39966087180659. The next prime is 39966087180709. The reversal of 39966087180672 is 27608178066993.

39966087180672 is a `hidden beast` number, since 3 + 9 + 9 + 6 + 608 + 7 + 1 + 8 + 0 + 6 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 39966087180672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1632522672 + ... + 1632547152.

Almost surely, 2^{39966087180672} is an apocalyptic number.

39966087180672 is a gapful number since it is divisible by the number (32) 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 39966087180672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60098996271600).

39966087180672 is an abundant number, since it is smaller than the sum of its proper divisors (80231905362528).

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

39966087180672 is a wasteful number, since it uses less digits than its factorization.

39966087180672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26167 (or 26146 counting only the distinct ones).

The product of its (nonzero) digits is 329204736, while the sum is 72.

The spelling of 39966087180672 in words is "thirty-nine trillion, nine hundred sixty-six billion, eighty-seven million, one hundred eighty thousand, six hundred seventy-two".