10840580352 has 288 divisors, whose sum is σ = 37247893760. Its totient is φ = 3045703680.

The previous prime is 10840580347. The next prime is 10840580389. The reversal of 10840580352 is 25308504801.

It is a happy number.

10840580352 is a `hidden beast` number, since 1 + 0 + 8 + 40 + 580 + 35 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2949588 + ... + 2953260.

Almost surely, 2^10840580352 is an apocalyptic number.

10840580352 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 10840580352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18623946880).

10840580352 is an abundant number, since it is smaller than the sum of its proper divisors (26407313408).

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

10840580352 is an equidigital number, since it uses as much as digits as its factorization.

10840580352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3766 (or 3746 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 10840580352 in words is "ten billion, eight hundred forty million, five hundred eighty thousand, three hundred fifty-two".