10871731980 has 192 divisors, whose sum is σ = 35695296000. Its totient is φ = 2739453696.

The previous prime is 10871731943. The next prime is 10871731991. The reversal of 10871731980 is 8913717801.

It is a happy number.

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, 4790286 + ... + 4792554.

It is an arithmetic number, because the mean of its divisors is an integer number (185913000).

Almost surely, 2^10871731980 is an apocalyptic number.

10871731980 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 10871731980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17847648000).

10871731980 is an abundant number, since it is smaller than the sum of its proper divisors (24823564020).

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

10871731980 is a wasteful number, since it uses less digits than its factorization.

10871731980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2773 (or 2765 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 45.

The spelling of 10871731980 in words is "ten billion, eight hundred seventy-one million, seven hundred thirty-one thousand, nine hundred eighty".