10661625344 has 160 divisors (see below), whose sum is σ = 24783770880. Its totient is φ = 4544888832.

The previous prime is 10661625341. The next prime is 10661625349. The reversal of 10661625344 is 44352616601.

It is a super-2 number, since 2×10661625344² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 10661625298 and 10661625307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10661625341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3802247 + ... + 3805049.

It is an arithmetic number, because the mean of its divisors is an integer number (154898568).

Almost surely, 2^10661625344 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 10661625344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12391885440).

10661625344 is an abundant number, since it is smaller than the sum of its proper divisors (14122145536).

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

10661625344 is a wasteful number, since it uses less digits than its factorization.

10661625344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2880 (or 2864 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

The spelling of 10661625344 in words is "ten billion, six hundred sixty-one million, six hundred twenty-five thousand, three hundred forty-four".