387253831552 has 128 divisors (see below), whose sum is σ = 937292198400. Its totient is φ = 155673446400.

The previous prime is 387253831529. The next prime is 387253831577. The reversal of 387253831552 is 255138352783.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 387253831552.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1606813 + ... + 1832035.

It is an arithmetic number, because the mean of its divisors is an integer number (7322595300).

Almost surely, 2^387253831552 is an apocalyptic number.

387253831552 is a gapful number since it is divisible by the number (32) 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 387253831552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468646099200).

387253831552 is an abundant number, since it is smaller than the sum of its proper divisors (550038366848).

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

387253831552 is a wasteful number, since it uses less digits than its factorization.

387253831552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225364 (or 225352 counting only the distinct ones).

The product of its digits is 6048000, while the sum is 52.

The spelling of 387253831552 in words is "three hundred eighty-seven billion, two hundred fifty-three million, eight hundred thirty-one thousand, five hundred fifty-two".