10840727590 has 384 divisors, whose sum is σ = 27799511040. Its totient is φ = 2965248000.

The previous prime is 10840727587. The next prime is 10840727699. The reversal of 10840727590 is 9572704801.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 204542004 + ... + 204542056.

It is an arithmetic number, because the mean of its divisors is an integer number (72394560).

Almost surely, 2^10840727590 is an apocalyptic number.

10840727590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10840727590 is an abundant number, since it is smaller than the sum of its proper divisors (16958783450).

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

10840727590 is a wasteful number, since it uses less digits than its factorization.

10840727590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 43.

The spelling of 10840727590 in words is "ten billion, eight hundred forty million, seven hundred twenty-seven thousand, five hundred ninety".