10701766656 has 308 divisors, whose sum is σ = 36674985432. Its totient is φ = 3057647616.

The previous prime is 10701766637. The next prime is 10701766667. The reversal of 10701766656 is 65666710701.

It is a super-2 number, since 2×10701766656² (a number of 21 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 13 ways as a sum of consecutive naturals, for example, 1528823805 + ... + 1528823811.

Almost surely, 2^10701766656 is an apocalyptic number.

10701766656 is a gapful number since it is divisible by the number (16) 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 10701766656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18337492716).

10701766656 is an abundant number, since it is smaller than the sum of its proper divisors (25973218776).

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

10701766656 is an frugal number, since it uses more digits than its factorization.

10701766656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 10701766656 in words is "ten billion, seven hundred one million, seven hundred sixty-six thousand, six hundred fifty-six".