388566097920 has 2352 divisors, whose sum is σ = 1887500895552. Its totient is φ = 74530160640.

The previous prime is 388566097919. The next prime is 388566097939. The reversal of 388566097920 is 29790665883.

It is a super-2 number, since 2×388566097920² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 29889699834 + ... + 29889699846.

Almost surely, 2^388566097920 is an apocalyptic number.

388566097920 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 388566097920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943750447776).

388566097920 is an abundant number, since it is smaller than the sum of its proper divisors (1498934797632).

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

388566097920 is an equidigital number, since it uses as much as digits as its factorization.

388566097920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 388566097920 in words is "three hundred eighty-eight billion, five hundred sixty-six million, ninety-seven thousand, nine hundred twenty".