13188997640 has 256 divisors, whose sum is σ = 38320128000. Its totient is φ = 3970796544.

The previous prime is 13188997631. The next prime is 13188997651. The reversal of 13188997640 is 4679988131.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22018061 + ... + 22018659.

It is an arithmetic number, because the mean of its divisors is an integer number (149688000).

Almost surely, 2^13188997640 is an apocalyptic number.

13188997640 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 13188997640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19160064000).

13188997640 is an abundant number, since it is smaller than the sum of its proper divisors (25131130360).

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

13188997640 is a wasteful number, since it uses less digits than its factorization.

13188997640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 56.

The spelling of 13188997640 in words is "thirteen billion, one hundred eighty-eight million, nine hundred ninety-seven thousand, six hundred forty".