10665653460 has 192 divisors, whose sum is σ = 39423283200. Its totient is φ = 2085857280.

The previous prime is 10665653431. The next prime is 10665653461. The reversal of 10665653460 is 6435656601.

It is a super-2 number, since 2×10665653460² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10665653461) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10641 + ... + 146439.

It is an arithmetic number, because the mean of its divisors is an integer number (205329600).

Almost surely, 2^10665653460 is an apocalyptic number.

10665653460 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 10665653460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19711641600).

10665653460 is an abundant number, since it is smaller than the sum of its proper divisors (28757629740).

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

10665653460 is a wasteful number, since it uses less digits than its factorization.

10665653460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135846 (or 135844 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 42.

The spelling of 10665653460 in words is "ten billion, six hundred sixty-five million, six hundred fifty-three thousand, four hundred sixty".