10759495680 has 672 divisors, whose sum is σ = 41219103744. Its totient is φ = 2686058496.

The previous prime is 10759495679. The next prime is 10759495699. The reversal of 10759495680 is 8659495701.

10759495680 is a `hidden beast` number, since 1 + 0 + 75 + 9 + 4 + 9 + 568 + 0 = 666.

It is a super-3 number, since 3×10759495680³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 228925417 + ... + 228925463.

It is an arithmetic number, because the mean of its divisors is an integer number (61337952).

Almost surely, 2^10759495680 is an apocalyptic number.

10759495680 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 10759495680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20609551872).

10759495680 is an abundant number, since it is smaller than the sum of its proper divisors (30459608064).

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

10759495680 is an frugal number, since it uses more digits than its factorization.

10759495680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 10759495680 in words is "ten billion, seven hundred fifty-nine million, four hundred ninety-five thousand, six hundred eighty".