10610253440 has 128 divisors (see below), whose sum is σ = 26794437120. Its totient is φ = 4011356160.

The previous prime is 10610253413. The next prime is 10610253449. The reversal of 10610253440 is 4435201601.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×10610253440² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10610253449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 846902 + ... + 859338.

It is an arithmetic number, because the mean of its divisors is an integer number (209331540).

Almost surely, 2^10610253440 is an apocalyptic number.

10610253440 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 10610253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13397218560).

10610253440 is an abundant number, since it is smaller than the sum of its proper divisors (16184183680).

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

10610253440 is a wasteful number, since it uses less digits than its factorization.

10610253440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12530 (or 12518 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The spelling of 10610253440 in words is "ten billion, six hundred ten million, two hundred fifty-three thousand, four hundred forty".