10690901760 has 864 divisors, whose sum is σ = 45410158080. Its totient is φ = 2092400640.

The previous prime is 10690901759. The next prime is 10690901773. The reversal of 10690901760 is 6710909601.

It is a super-2 number, since 2×10690901760² (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 95 ways as a sum of consecutive naturals, for example, 61797034 + ... + 61797206.

Almost surely, 2^10690901760 is an apocalyptic number.

10690901760 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 10690901760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22705079040).

10690901760 is an abundant number, since it is smaller than the sum of its proper divisors (34719256320).

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

10690901760 is a wasteful number, since it uses less digits than its factorization.

10690901760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 39.

The spelling of 10690901760 in words is "ten billion, six hundred ninety million, nine hundred one thousand, seven hundred sixty".