13576097000 has 64 divisors (see below), whose sum is σ = 31791698640. Its totient is φ = 5426400000.

The previous prime is 13576096979. The next prime is 13576097009. The reversal of 13576097000 is 79067531.

It can be written as a sum of positive squares in 8 ways, for example, as 688852516 + 12887244484 = 26246^2 + 113522^2 .

It is not an unprimeable number, because it can be changed into a prime (13576097009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1592750 + ... + 1601250.

Almost surely, 2^13576097000 is an apocalyptic number.

13576097000 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 13576097000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15895849320).

13576097000 is an abundant number, since it is smaller than the sum of its proper divisors (18215601640).

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

13576097000 is a wasteful number, since it uses less digits than its factorization.

13576097000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10119 (or 10105 counting only the distinct ones).

The product of its (nonzero) digits is 39690, while the sum is 38.

The spelling of 13576097000 in words is "thirteen billion, five hundred seventy-six million, ninety-seven thousand".