13011878880 has 1920 divisors, whose sum is σ = 66389621760. Its totient is φ = 2309160960.

The previous prime is 13011878879. The next prime is 13011878917. The reversal of 13011878880 is 8887811031.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 319 ways as a sum of consecutive naturals, for example, 220540291 + ... + 220540349.

It is an arithmetic number, because the mean of its divisors is an integer number (34577928).

Almost surely, 2^13011878880 is an apocalyptic number.

13011878880 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 13011878880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33194810880).

13011878880 is an abundant number, since it is smaller than the sum of its proper divisors (53377742880).

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

13011878880 is a wasteful number, since it uses less digits than its factorization.

13011878880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 45.

The spelling of 13011878880 in words is "thirteen billion, eleven million, eight hundred seventy-eight thousand, eight hundred eighty".