13531392000 has 576 divisors, whose sum is σ = 55807315200. Its totient is φ = 3089203200.

The previous prime is 13531391983. The next prime is 13531392001. The reversal of 13531392000 is 29313531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (13531392001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16127581 + ... + 16128419.

It is an arithmetic number, because the mean of its divisors is an integer number (96887700).

Almost surely, 2^13531392000 is an apocalyptic number.

13531392000 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 13531392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27903657600).

13531392000 is an abundant number, since it is smaller than the sum of its proper divisors (42275923200).

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

13531392000 is an equidigital number, since it uses as much as digits as its factorization.

13531392000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The spelling of 13531392000 in words is "thirteen billion, five hundred thirty-one million, three hundred ninety-two thousand".