15135960000 has 560 divisors, whose sum is σ = 58858359296. Its totient is φ = 3359232000.

The previous prime is 15135959999. The next prime is 15135960001. The reversal of 15135960000 is 6953151.

It is an interprime number because it is at equal distance from previous prime (15135959999) and next prime (15135960001).

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 15135960000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15135960001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 31079757 + ... + 31080243.

Almost surely, 2^15135960000 is an apocalyptic number.

15135960000 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 15135960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29429179648).

15135960000 is an abundant number, since it is smaller than the sum of its proper divisors (43722399296).

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

15135960000 is an equidigital number, since it uses as much as digits as its factorization.

15135960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 30.

The spelling of 15135960000 in words is "fifteen billion, one hundred thirty-five million, nine hundred sixty thousand".