10682791997904 has 240 divisors, whose sum is σ = 34530778638720. Its totient is φ = 3055256755200.

The previous prime is 10682791997873. The next prime is 10682791997929. The reversal of 10682791997904 is 40979919728601.

It is a super-2 number, since 2×10682791997904² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 47 ways as a sum of consecutive naturals, for example, 948372 + ... + 4718579.

It is an arithmetic number, because the mean of its divisors is an integer number (143878244328).

Almost surely, 2^{10682791997904} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10682791997904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17265389319360).

10682791997904 is an abundant number, since it is smaller than the sum of its proper divisors (23847986640816).

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

10682791997904 is a wasteful number, since it uses less digits than its factorization.

10682791997904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5667050 (or 5667041 counting only the distinct ones).

The product of its (nonzero) digits is 123451776, while the sum is 72.

The spelling of 10682791997904 in words is "ten trillion, six hundred eighty-two billion, seven hundred ninety-one million, nine hundred ninety-seven thousand, nine hundred four".