15264383138400 has 144 divisors (see below), whose sum is σ = 54202436947008. Its totient is φ = 3700456512000.

The previous prime is 15264383138393. The next prime is 15264383138429. The reversal of 15264383138400 is 483138346251.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 15264383138400.

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 23 ways as a sum of consecutive naturals, for example, 289071766 + ... + 289124565.

It is an arithmetic number, because the mean of its divisors is an integer number (376405812132).

Almost surely, 2^{15264383138400} is an apocalyptic number.

15264383138400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15264383138400 is an abundant number, since it is smaller than the sum of its proper divisors (38938053808608).

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

15264383138400 is a wasteful number, since it uses less digits than its factorization.

15264383138400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578196365 (or 578196352 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 15264383138400 in words is "fifteen trillion, two hundred sixty-four billion, three hundred eighty-three million, one hundred thirty-eight thousand, four hundred".