388866777600 has 960 divisors, whose sum is σ = 1582138736640. Its totient is φ = 82236211200.

The previous prime is 388866777599. The next prime is 388866777613. The reversal of 388866777600 is 6777668883.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 191653386 + ... + 191655414.

It is an arithmetic number, because the mean of its divisors is an integer number (1648061184).

Almost surely, 2^388866777600 is an apocalyptic number.

388866777600 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 388866777600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791069368320).

388866777600 is an abundant number, since it is smaller than the sum of its proper divisors (1193271959040).

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

388866777600 is a wasteful number, since it uses less digits than its factorization.

388866777600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2121 (or 2100 counting only the distinct ones).

The product of its (nonzero) digits is 113799168, while the sum is 66.

The spelling of 388866777600 in words is "three hundred eighty-eight billion, eight hundred sixty-six million, seven hundred seventy-seven thousand, six hundred".