13192058880 has 1296 divisors, whose sum is σ = 62192959920. Its totient is φ = 2530344960.

The previous prime is 13192058857. The next prime is 13192058933. The reversal of 13192058880 is 8885029131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1014773754 + ... + 1014773766.

It is an arithmetic number, because the mean of its divisors is an integer number (47988395).

Almost surely, 2^13192058880 is an apocalyptic number.

13192058880 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 13192058880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31096479960).

13192058880 is an abundant number, since it is smaller than the sum of its proper divisors (49000901040).

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

13192058880 is a wasteful number, since it uses less digits than its factorization.

13192058880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 13192058880 in words is "thirteen billion, one hundred ninety-two million, fifty-eight thousand, eight hundred eighty".