38991302595072 has 400 divisors, whose sum is σ = 121779570164472. Its totient is φ = 12407201464320.

The previous prime is 38991302595071. The next prime is 38991302595131. The reversal of 38991302595072 is 27059520319983.

38991302595072 is a `hidden beast` number, since 3 + 8 + 9 + 9 + 1 + 30 + 2 + 595 + 0 + 7 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 32450066678016 + 6541235917056 = 5696496^2 + 2557584^2 .

It is not an unprimeable number, because it can be changed into a prime (38991302595071) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 81086872 + ... + 81566312.

Almost surely, 2^{38991302595072} is an apocalyptic number.

38991302595072 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 38991302595072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60889785082236).

38991302595072 is an abundant number, since it is smaller than the sum of its proper divisors (82788267569400).

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

38991302595072 is an equidigital number, since it uses as much as digits as its factorization.

38991302595072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479561 (or 479536 counting only the distinct ones).

The product of its (nonzero) digits is 36741600, while the sum is 63.

The spelling of 38991302595072 in words is "thirty-eight trillion, nine hundred ninety-one billion, three hundred two million, five hundred ninety-five thousand, seventy-two".