10640856000000 has 280 divisors, whose sum is σ = 35434508151240. Its totient is φ = 2837555200000.

The previous prime is 10640855999999. The next prime is 10640856000029. The reversal of 10640856000000 is 65804601.

It is a super-2 number, since 2×10640856000000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 23778316 + ... + 24221684.

Almost surely, 2^{10640856000000} is an apocalyptic number.

10640856000000 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 10640856000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17717254075620).

10640856000000 is an abundant number, since it is smaller than the sum of its proper divisors (24793652151240).

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

10640856000000 is an frugal number, since it uses more digits than its factorization.

10640856000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443420 (or 443379 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 10640856000000 in words is "ten trillion, six hundred forty billion, eight hundred fifty-six million", and thus it is an aban number.