38655740160000 has 2880 divisors, whose sum is σ = 157950919526400. Its totient is φ = 9405849600000.

The previous prime is 38655740159951. The next prime is 38655740160043. The reversal of 38655740160000 is 6104755683.

38655740160000 is a `hidden beast` number, since 3 + 8 + 65 + 574 + 0 + 16 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 183202559895 + ... + 183202560105.

It is an arithmetic number, because the mean of its divisors is an integer number (54844069280).

Almost surely, 2^{38655740160000} is an apocalyptic number.

38655740160000 is a gapful number since it is divisible by the number (30) 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 38655740160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78975459763200).

38655740160000 is an abundant number, since it is smaller than the sum of its proper divisors (119295179366400).

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

38655740160000 is an equidigital number, since it uses as much as digits as its factorization.

38655740160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 38655740160000 in words is "thirty-eight trillion, six hundred fifty-five billion, seven hundred forty million, one hundred sixty thousand".