10782915957840 has 320 divisors, whose sum is σ = 37185040005120. Its totient is φ = 2566875709440.

The previous prime is 10782915957833. The next prime is 10782915957857. The reversal of 10782915957840 is 4875951928701.

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, 143978644 + ... + 144053516.

It is an arithmetic number, because the mean of its divisors is an integer number (116203250016).

Almost surely, 2^{10782915957840} is an apocalyptic number.

10782915957840 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 10782915957840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18592520002560).

10782915957840 is an abundant number, since it is smaller than the sum of its proper divisors (26402124047280).

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

10782915957840 is a wasteful number, since it uses less digits than its factorization.

10782915957840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76422 (or 76416 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 66.

The spelling of 10782915957840 in words is "ten trillion, seven hundred eighty-two billion, nine hundred fifteen million, nine hundred fifty-seven thousand, eight hundred forty".