388232053920 has 480 divisors, whose sum is σ = 1384187389200. Its totient is φ = 102473662464.

The previous prime is 388232053919. The next prime is 388232053991. The reversal of 388232053920 is 29350232883.

388232053920 is a `hidden beast` number, since 3 + 8 + 82 + 32 + 0 + 539 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 384613309584 + 3618744336 = 620172^2 + 60156^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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 79 ways as a sum of consecutive naturals, for example, 762734626 + ... + 762735134.

Almost surely, 2^388232053920 is an apocalyptic number.

388232053920 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 388232053920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692093694600).

388232053920 is an abundant number, since it is smaller than the sum of its proper divisors (995955335280).

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

388232053920 is a wasteful number, since it uses less digits than its factorization.

388232053920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 388232053920 in words is "three hundred eighty-eight billion, two hundred thirty-two million, fifty-three thousand, nine hundred twenty".