13290365088 has 768 divisors, whose sum is σ = 52889518080. Its totient is φ = 3161410560.

The previous prime is 13290365059. The next prime is 13290365117. The reversal of 13290365088 is 88056309231.

It is a happy number.

13290365088 is a `hidden beast` number, since 132 + 9 + 0 + 3 + 6 + 508 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (13290365059) and next prime (13290365117).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 104648481 + ... + 104648607.

It is an arithmetic number, because the mean of its divisors is an integer number (68866560).

Almost surely, 2^13290365088 is an apocalyptic number.

13290365088 is a gapful number since it is divisible by the number (18) 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 13290365088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26444759040).

13290365088 is an abundant number, since it is smaller than the sum of its proper divisors (39599152992).

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

13290365088 is a wasteful number, since it uses less digits than its factorization.

13290365088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 13290365088 in words is "thirteen billion, two hundred ninety million, three hundred sixty-five thousand, eighty-eight".