38358665221272 has 256 divisors, whose sum is σ = 107657388748800. Its totient is φ = 11287032583680.

The previous prime is 38358665221223. The next prime is 38358665221307. The reversal of 38358665221272 is 27212256685383.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

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, 15107783379 + ... + 15107785917.

It is an arithmetic number, because the mean of its divisors is an integer number (420536674800).

Almost surely, 2^{38358665221272} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38358665221272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53828694374400).

38358665221272 is an abundant number, since it is smaller than the sum of its proper divisors (69298723527528).

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

38358665221272 is a wasteful number, since it uses less digits than its factorization.

38358665221272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5086 (or 5082 counting only the distinct ones).

The product of its digits is 58060800, while the sum is 60.

The spelling of 38358665221272 in words is "thirty-eight trillion, three hundred fifty-eight billion, six hundred sixty-five million, two hundred twenty-one thousand, two hundred seventy-two".