10831933298640 has 320 divisors, whose sum is σ = 36940695644160. Its totient is φ = 2613423605760.

The previous prime is 10831933298623. The next prime is 10831933298651. The reversal of 10831933298640 is 4689233913801.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67357530 + ... + 67518150.

It is an arithmetic number, because the mean of its divisors is an integer number (115439673888).

Almost surely, 2^{10831933298640} is an apocalyptic number.

10831933298640 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 10831933298640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18470347822080).

10831933298640 is an abundant number, since it is smaller than the sum of its proper divisors (26108762345520).

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

10831933298640 is a wasteful number, since it uses less digits than its factorization.

10831933298640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161322 (or 161316 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 57.

The spelling of 10831933298640 in words is "ten trillion, eight hundred thirty-one billion, nine hundred thirty-three million, two hundred ninety-eight thousand, six hundred forty".