388948268800 has 216 divisors, whose sum is σ = 1184872836896. Its totient is φ = 123095531520.

The previous prime is 388948268791. The next prime is 388948268833. The reversal of 388948268800 is 8862849883.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 248482 + ... + 916318.

Almost surely, 2^388948268800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 388948268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592436418448).

388948268800 is an abundant number, since it is smaller than the sum of its proper divisors (795924568096).

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

388948268800 is a wasteful number, since it uses less digits than its factorization.

388948268800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667883 (or 667864 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 64.

The spelling of 388948268800 in words is "three hundred eighty-eight billion, nine hundred forty-eight million, two hundred sixty-eight thousand, eight hundred".