15379713000 has 672 divisors, whose sum is σ = 58104011160. Its totient is φ = 3807129600.

The previous prime is 15379712989. The next prime is 15379713049. The reversal of 15379713000 is 31797351.

15379713000 is a `hidden beast` number, since 1 + 537 + 97 + 1 + 30 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 207878724 + 15171834276 = 14418^2 + 123174^2 .

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

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 167 ways as a sum of consecutive naturals, for example, 210680964 + ... + 210681036.

Almost surely, 2^15379713000 is an apocalyptic number.

15379713000 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 15379713000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29052005580).

15379713000 is an abundant number, since it is smaller than the sum of its proper divisors (42724298160).

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

15379713000 is an equidigital number, since it uses as much as digits as its factorization.

15379713000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 19845, while the sum is 36.

The spelling of 15379713000 in words is "fifteen billion, three hundred seventy-nine million, seven hundred thirteen thousand".