38959665120 has 144 divisors (see below), whose sum is σ = 137874063600. Its totient is φ = 10389233664.

The previous prime is 38959665097. The next prime is 38959665127. The reversal of 38959665120 is 2156695983.

It is a happy number.

38959665120 is a `hidden beast` number, since 38 + 9 + 5 + 96 + 6 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×38959665120² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38959665127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 462145 + ... + 539904.

It is an arithmetic number, because the mean of its divisors is an integer number (957458775).

Almost surely, 2^38959665120 is an apocalyptic number.

38959665120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38959665120 is an abundant number, since it is smaller than the sum of its proper divisors (98914398480).

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

38959665120 is a wasteful number, since it uses less digits than its factorization.

38959665120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002079 (or 1002059 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 38959665120 in words is "thirty-eight billion, nine hundred fifty-nine million, six hundred sixty-five thousand, one hundred twenty".