10613854720 has 240 divisors, whose sum is σ = 29825376768. Its totient is φ = 3611811840.

The previous prime is 10613854717. The next prime is 10613854729. The reversal of 10613854720 is 2745831601.

It is a super-2 number, since 2×10613854720² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10613854720.

It is not an unprimeable number, because it can be changed into a prime (10613854729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23958819 + ... + 23959261.

Almost surely, 2^10613854720 is an apocalyptic number.

10613854720 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 10613854720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14912688384).

10613854720 is an abundant number, since it is smaller than the sum of its proper divisors (19211522048).

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

10613854720 is an equidigital number, since it uses as much as digits as its factorization.

10613854720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The spelling of 10613854720 in words is "ten billion, six hundred thirteen million, eight hundred fifty-four thousand, seven hundred twenty".