13088006400 has 216 divisors, whose sum is σ = 49364104384. Its totient is φ = 2991513600.

The previous prime is 13088006357. The next prime is 13088006423. The reversal of 13088006400 is 460088031.

It is a happy number.

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

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, 85710 + ... + 183090.

Almost surely, 2^13088006400 is an apocalyptic number.

13088006400 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 13088006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24682052192).

13088006400 is an abundant number, since it is smaller than the sum of its proper divisors (36276097984).

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

13088006400 is an equidigital number, since it uses as much as digits as its factorization.

13088006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97417 (or 97398 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 13088006400 in words is "thirteen billion, eighty-eight million, six thousand, four hundred".