10720108509264 has 480 divisors, whose sum is σ = 40351912383744. Its totient is φ = 2571204280320.

The previous prime is 10720108509221. The next prime is 10720108509269. The reversal of 10720108509264 is 46290580102701.

10720108509264 is a `hidden beast` number, since 1 + 0 + 72 + 0 + 10 + 8 + 509 + 2 + 64 = 666.

10720108509264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10720108509264² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10720108509269) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9453762 + ... + 10526814.

Almost surely, 2^{10720108509264} is an apocalyptic number.

10720108509264 is a gapful number since it is divisible by the number (14) 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 10720108509264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20175956191872).

10720108509264 is an abundant number, since it is smaller than the sum of its proper divisors (29631803874480).

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

10720108509264 is a wasteful number, since it uses less digits than its factorization.

10720108509264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1073155 (or 1073146 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 10720108509264 in words is "ten trillion, seven hundred twenty billion, one hundred eight million, five hundred nine thousand, two hundred sixty-four".