10931785920 has 560 divisors, whose sum is σ = 44292365568. Its totient is φ = 2533386240.

The previous prime is 10931785919. The next prime is 10931785937. The reversal of 10931785920 is 2958713901.

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 79 ways as a sum of consecutive naturals, for example, 6556927 + ... + 6558593.

Almost surely, 2^10931785920 is an apocalyptic number.

10931785920 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 10931785920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22146182784).

10931785920 is an abundant number, since it is smaller than the sum of its proper divisors (33360579648).

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

10931785920 is a wasteful number, since it uses less digits than its factorization.

10931785920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1730 (or 1711 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 10931785920 in words is "ten billion, nine hundred thirty-one million, seven hundred eighty-five thousand, nine hundred twenty".