10781582112 has 480 divisors, whose sum is σ = 37736899200. Its totient is φ = 3017710080.

The previous prime is 10781582093. The next prime is 10781582113. The reversal of 10781582112 is 21128518701.

10781582112 is a `hidden beast` number, since 1 + 0 + 78 + 1 + 582 + 1 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10781582113) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 59566662 + ... + 59566842.

It is an arithmetic number, because the mean of its divisors is an integer number (78618540).

Almost surely, 2^10781582112 is an apocalyptic number.

10781582112 is a gapful number since it is divisible by the number (12) 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 10781582112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18868449600).

10781582112 is an abundant number, since it is smaller than the sum of its proper divisors (26955317088).

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

10781582112 is an equidigital number, since it uses as much as digits as its factorization.

10781582112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 36.

The spelling of 10781582112 in words is "ten billion, seven hundred eighty-one million, five hundred eighty-two thousand, one hundred twelve".