38166416552880 has 640 divisors, whose sum is σ = 173542038312960. Its totient is φ = 7464172584960.

The previous prime is 38166416552867. The next prime is 38166416552933. The reversal of 38166416552880 is 8825561466183.

38166416552880 is a `hidden beast` number, since 3 + 8 + 1 + 6 + 6 + 41 + 65 + 528 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 3921849 + ... + 9576728.

It is an arithmetic number, because the mean of its divisors is an integer number (271159434864).

Almost surely, 2^{38166416552880} is an apocalyptic number.

38166416552880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38166416552880 is an abundant number, since it is smaller than the sum of its proper divisors (135375621760080).

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

38166416552880 is a wasteful number, since it uses less digits than its factorization.

38166416552880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13498634 (or 13498622 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 63.

The spelling of 38166416552880 in words is "thirty-eight trillion, one hundred sixty-six billion, four hundred sixteen million, five hundred fifty-two thousand, eight hundred eighty".