38855013120 has 1440 divisors, whose sum is σ = 180067700736. Its totient is φ = 7763558400.

The previous prime is 38855013101. The next prime is 38855013139. The reversal of 38855013120 is 2131055883.

38855013120 is a `hidden beast` number, since 3 + 88 + 550 + 1 + 3 + 1 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (38855013101) and next prime (38855013139).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 247484082 + ... + 247484238.

Almost surely, 2^38855013120 is an apocalyptic number.

38855013120 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 38855013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90033850368).

38855013120 is an abundant number, since it is smaller than the sum of its proper divisors (141212687616).

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

38855013120 is a wasteful number, since it uses less digits than its factorization.

38855013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 38855013120 in words is "thirty-eight billion, eight hundred fifty-five million, thirteen thousand, one hundred twenty".