13087856880 has 600 divisors, whose sum is σ = 54064093248. Its totient is φ = 2924522496.

The previous prime is 13087856879. The next prime is 13087856893. The reversal of 13087856880 is 8865878031.

It is a happy number.

13087856880 is a `hidden beast` number, since 1 + 3 + 0 + 8 + 78 + 568 + 8 + 0 = 666.

It is a super-2 number, since 2×13087856880² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 14923002 + ... + 14923878.

Almost surely, 2^13087856880 is an apocalyptic number.

13087856880 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 13087856880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27032046624).

13087856880 is an abundant number, since it is smaller than the sum of its proper divisors (40976236368).

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

13087856880 is a wasteful number, since it uses less digits than its factorization.

13087856880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 13087856880 in words is "thirteen billion, eighty-seven million, eight hundred fifty-six thousand, eight hundred eighty".