38862585216000 has 4224 divisors, whose sum is σ = 182659947724800. Its totient is φ = 8076489523200.

The previous prime is 38862585215953. The next prime is 38862585216017. The reversal of 38862585216000 is 61258526883.

38862585216000 is a `hidden beast` number, since 3 + 8 + 8 + 6 + 2 + 5 + 8 + 5 + 21 + 600 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 279586943931 + ... + 279586944069.

Almost surely, 2^{38862585216000} is an apocalyptic number.

38862585216000 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 38862585216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91329973862400).

38862585216000 is an abundant number, since it is smaller than the sum of its proper divisors (143797362508800).

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

38862585216000 is a wasteful number, since it uses less digits than its factorization.

38862585216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 38862585216000 in words is "thirty-eight trillion, eight hundred sixty-two billion, five hundred eighty-five million, two hundred sixteen thousand".