13188322560 has 1152 divisors, whose sum is σ = 56512512000. Its totient is φ = 2601123840.

The previous prime is 13188322507. The next prime is 13188322571. The reversal of 13188322560 is 6522388131.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 425429745 + ... + 425429775.

It is an arithmetic number, because the mean of its divisors is an integer number (49056000).

Almost surely, 2^13188322560 is an apocalyptic number.

13188322560 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 13188322560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28256256000).

13188322560 is an abundant number, since it is smaller than the sum of its proper divisors (43324189440).

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

13188322560 is a wasteful number, since it uses less digits than its factorization.

13188322560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 13188322560 in words is "thirteen billion, one hundred eighty-eight million, three hundred twenty-two thousand, five hundred sixty".