10705792822080 has 112 divisors (see below), whose sum is σ = 34003079470464. Its totient is φ = 2853854484480.

The previous prime is 10705792822061. The next prime is 10705792822117. The reversal of 10705792822080 is 8022829750701.

10705792822080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10705792822080² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 681534 + ... + 4677186.

Almost surely, 2^{10705792822080} is an apocalyptic number.

10705792822080 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 10705792822080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17001539735232).

10705792822080 is an abundant number, since it is smaller than the sum of its proper divisors (23297286648384).

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

10705792822080 is a wasteful number, since it uses less digits than its factorization.

10705792822080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3998464 (or 3998454 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 51.

The spelling of 10705792822080 in words is "ten trillion, seven hundred five billion, seven hundred ninety-two million, eight hundred twenty-two thousand, eighty".