13452088320 has 264 divisors, whose sum is σ = 50850427680. Its totient is φ = 3260989440.

The previous prime is 13452088319. The next prime is 13452088333. The reversal of 13452088320 is 2388025431.

13452088320 is a `hidden beast` number, since 1 + 34 + 520 + 8 + 83 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 493611 + ... + 520149.

Almost surely, 2^13452088320 is an apocalyptic number.

13452088320 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 13452088320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25425213840).

13452088320 is an abundant number, since it is smaller than the sum of its proper divisors (37398339360).

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

13452088320 is a wasteful number, since it uses less digits than its factorization.

13452088320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26581 (or 26560 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 13452088320 in words is "thirteen billion, four hundred fifty-two million, eighty-eight thousand, three hundred twenty".