10613661888840 has 64 divisors (see below), whose sum is σ = 31842100978560. Its totient is φ = 2830210698240.

The previous prime is 10613661888829. The next prime is 10613661888859. The reversal of 10613661888840 is 4888816631601.

It is a happy number.

It is a super-2 number, since 2×10613661888840² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1923405 + ... + 4992675.

It is an arithmetic number, because the mean of its divisors is an integer number (497532827790).

Almost surely, 2^{10613661888840} is an apocalyptic number.

10613661888840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10613661888840 is an abundant number, since it is smaller than the sum of its proper divisors (21228439089720).

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

10613661888840 is a wasteful number, since it uses less digits than its factorization.

10613661888840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3098102 (or 3098098 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 60.

The spelling of 10613661888840 in words is "ten trillion, six hundred thirteen billion, six hundred sixty-one million, eight hundred eighty-eight thousand, eight hundred forty".