388775116800 has 1536 divisors, whose sum is σ = 1705881292800. Its totient is φ = 85996339200.

The previous prime is 388775116787. The next prime is 388775116801. The reversal of 388775116800 is 8611577883.

It is a happy number.

388775116800 is a `hidden beast` number, since 388 + 7 + 75 + 116 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×388775116800² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (388775116801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12541132785 + ... + 12541132815.

It is an arithmetic number, because the mean of its divisors is an integer number (1110599800).

Almost surely, 2^388775116800 is an apocalyptic number.

388775116800 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 388775116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852940646400).

388775116800 is an abundant number, since it is smaller than the sum of its proper divisors (1317106176000).

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

388775116800 is an frugal number, since it uses more digits than its factorization.

388775116800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 388775116800 in words is "three hundred eighty-eight billion, seven hundred seventy-five million, one hundred sixteen thousand, eight hundred".