15385734000000 has 3584 divisors, whose sum is σ = 72827067801600. Its totient is φ = 3110400000000.

The previous prime is 15385733999971. The next prime is 15385734000011. The reversal of 15385734000000 is 43758351.

15385734000000 is a `hidden beast` number, since 15 + 38 + 573 + 40 + 0 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 152333999950 + ... + 152334000050.

It is an arithmetic number, because the mean of its divisors is an integer number (20320052400).

Almost surely, 2^{15385734000000} is an apocalyptic number.

15385734000000 is a gapful number since it is divisible by the number (10) 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 15385734000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36413533900800).

15385734000000 is an abundant number, since it is smaller than the sum of its proper divisors (57441333801600).

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

15385734000000 is an equidigital number, since it uses as much as digits as its factorization.

15385734000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

Adding to 15385734000000 its reverse (43758351), we get a palindrome (15385777758351).

The spelling of 15385734000000 in words is "fifteen trillion, three hundred eighty-five billion, seven hundred thirty-four million", and thus it is an aban number.