388365652500 has 480 divisors, whose sum is σ = 1372540646400. Its totient is φ = 83462400000.

The previous prime is 388365652487. The next prime is 388365652547. The reversal of 388365652500 is 5256563883.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 138651100 + ... + 138653900.

It is an arithmetic number, because the mean of its divisors is an integer number (2859459680).

Almost surely, 2^388365652500 is an apocalyptic number.

388365652500 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 388365652500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686270323200).

388365652500 is an abundant number, since it is smaller than the sum of its proper divisors (984174993900).

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

388365652500 is a wasteful number, since it uses less digits than its factorization.

388365652500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2993 (or 2976 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 51.

The spelling of 388365652500 in words is "three hundred eighty-eight billion, three hundred sixty-five million, six hundred fifty-two thousand, five hundred".