388052169120 has 2880 divisors, whose sum is σ = 1892104220160. Its totient is φ = 73063710720.

The previous prime is 388052169103. The next prime is 388052169121. The reversal of 388052169120 is 21961250883.

388052169120 is a `hidden beast` number, since 38 + 8 + 0 + 521 + 6 + 91 + 2 + 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 (388052169121) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 7321739014 + ... + 7321739066.

It is an arithmetic number, because the mean of its divisors is an integer number (656980632).

Almost surely, 2^388052169120 is an apocalyptic number.

388052169120 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 388052169120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946052110080).

388052169120 is an abundant number, since it is smaller than the sum of its proper divisors (1504052051040).

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

388052169120 is a wasteful number, since it uses less digits than its factorization.

388052169120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 388052169120 in words is "three hundred eighty-eight billion, fifty-two million, one hundred sixty-nine thousand, one hundred twenty".