10759792256640 has 640 divisors, whose sum is σ = 44095548942720. Its totient is φ = 2459360931840.

The previous prime is 10759792256569. The next prime is 10759792256671. The reversal of 10759792256640 is 4665229795701.

10759792256640 is a `hidden beast` number, since 1 + 0 + 7 + 5 + 9 + 7 + 9 + 22 + 566 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 88118830 + ... + 88240850.

It is an arithmetic number, because the mean of its divisors is an integer number (68899295223).

Almost surely, 2^{10759792256640} is an apocalyptic number.

10759792256640 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 10759792256640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22047774471360).

10759792256640 is an abundant number, since it is smaller than the sum of its proper divisors (33335756686080).

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

10759792256640 is an frugal number, since it uses more digits than its factorization.

10759792256640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122074 (or 122038 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 63.

The spelling of 10759792256640 in words is "ten trillion, seven hundred fifty-nine billion, seven hundred ninety-two million, two hundred fifty-six thousand, six hundred forty".