10513782180720 has 1080 divisors, whose sum is σ = 46817369679600. Its totient is φ = 2101517623296.

The previous prime is 10513782180709. The next prime is 10513782180751. The reversal of 10513782180720 is 2708128731501.

10513782180720 is a `hidden beast` number, since 10 + 51 + 378 + 218 + 0 + 7 + 2 + 0 = 666.

It is a super-2 number, since 2×10513782180720² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 113237676 + ... + 113330484.

It is an arithmetic number, because the mean of its divisors is an integer number (43349416370).

Almost surely, 2^{10513782180720} is an apocalyptic number.

10513782180720 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 10513782180720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23408684839800).

10513782180720 is an abundant number, since it is smaller than the sum of its proper divisors (36303587498880).

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

10513782180720 is a wasteful number, since it uses less digits than its factorization.

10513782180720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92887 (or 92858 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The spelling of 10513782180720 in words is "ten trillion, five hundred thirteen billion, seven hundred eighty-two million, one hundred eighty thousand, seven hundred twenty".