10661615624 has 64 divisors (see below), whose sum is σ = 22272770880. Its totient is φ = 4743648000.

The previous prime is 10661615623. The next prime is 10661615633. The reversal of 10661615624 is 42651616601.

It is a happy number.

10661615624 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 2×10661615624² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10661615623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1127942 + ... + 1137354.

It is an arithmetic number, because the mean of its divisors is an integer number (348012045).

Almost surely, 2^10661615624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10661615624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11136385440).

10661615624 is an abundant number, since it is smaller than the sum of its proper divisors (11611155256).

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

10661615624 is a wasteful number, since it uses less digits than its factorization.

10661615624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9702 (or 9698 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The spelling of 10661615624 in words is "ten billion, six hundred sixty-one million, six hundred fifteen thousand, six hundred twenty-four".