38568960000 has 840 divisors, whose sum is σ = 149037592704. Its totient is φ = 9953280000.

The previous prime is 38568959987. The next prime is 38568960007. The reversal of 38568960000 is 6986583.

38568960000 is a `hidden beast` number, since 38 + 5 + 6 + 8 + 9 + 600 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (38568960007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1244159985 + ... + 1244160015.

Almost surely, 2^38568960000 is an apocalyptic number.

38568960000 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 38568960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74518796352).

38568960000 is an abundant number, since it is smaller than the sum of its proper divisors (110468632704).

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

38568960000 is an frugal number, since it uses more digits than its factorization.

38568960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 38568960000 in words is "thirty-eight billion, five hundred sixty-eight million, nine hundred sixty thousand".