10656616040 has 96 divisors (see below), whose sum is σ = 28540939680. Its totient is φ = 3568699008.

The previous prime is 10656616001. The next prime is 10656616063. The reversal of 10656616040 is 4061665601.

It is a super-2 number, since 2×10656616040² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21059 + ... + 147501.

It is an arithmetic number, because the mean of its divisors is an integer number (297301455).

Almost surely, 2^10656616040 is an apocalyptic number.

10656616040 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 10656616040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14270469840).

10656616040 is an abundant number, since it is smaller than the sum of its proper divisors (17884323640).

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

10656616040 is a wasteful number, since it uses less digits than its factorization.

10656616040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126511 (or 126500 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

It can be divided in two parts, 1065661 and 6040, that added together give a palindrome (1071701).

The spelling of 10656616040 in words is "ten billion, six hundred fifty-six million, six hundred sixteen thousand, forty".