13250558880 has 384 divisors, whose sum is σ = 52886131200. Its totient is φ = 3069591552.

The previous prime is 13250558861. The next prime is 13250558921. The reversal of 13250558880 is 8885505231.

13250558880 is a `hidden beast` number, since 13 + 2 + 5 + 0 + 558 + 8 + 80 = 666.

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

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, 947781 + ... + 961659.

It is an arithmetic number, because the mean of its divisors is an integer number (137724300).

Almost surely, 2^13250558880 is an apocalyptic number.

13250558880 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 13250558880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26443065600).

13250558880 is an abundant number, since it is smaller than the sum of its proper divisors (39635572320).

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

13250558880 is a wasteful number, since it uses less digits than its factorization.

13250558880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13933 (or 13919 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 45.

The spelling of 13250558880 in words is "thirteen billion, two hundred fifty million, five hundred fifty-eight thousand, eight hundred eighty".