6981567185880 has 1280 divisors, whose sum is σ = 28836775756800. Its totient is φ = 1485653944320.

The previous prime is 6981567185863. The next prime is 6981567185927. The reversal of 6981567185880 is 885817651896.

6981567185880 is a `hidden beast` number, since 6 + 9 + 8 + 1 + 567 + 1 + 8 + 58 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 6981567185799 and 6981567185808.

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, 6387526614 + ... + 6387527706.

It is an arithmetic number, because the mean of its divisors is an integer number (22528731060).

Almost surely, 2^{6981567185880} is an apocalyptic number.

6981567185880 is a gapful number since it is divisible by the number (60) 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 6981567185880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14418387878400).

6981567185880 is an abundant number, since it is smaller than the sum of its proper divisors (21855208570920).

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

6981567185880 is a wasteful number, since it uses less digits than its factorization.

6981567185880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1218 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 232243200, while the sum is 72.

The spelling of 6981567185880 in words is "six trillion, nine hundred eighty-one billion, five hundred sixty-seven million, one hundred eighty-five thousand, eight hundred eighty".