10660523040 has 288 divisors, whose sum is σ = 39532147200. Its totient is φ = 2606100480.

The previous prime is 10660522987. The next prime is 10660523051. The reversal of 10660523040 is 4032506601.

10660523040 is a `hidden beast` number, since 10 + 6 + 605 + 2 + 3 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×10660523040² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10660522995 and 10660523013.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 841876 + ... + 854444.

It is an arithmetic number, because the mean of its divisors is an integer number (137264400).

Almost surely, 2^10660523040 is an apocalyptic number.

10660523040 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 10660523040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19766073600).

10660523040 is an abundant number, since it is smaller than the sum of its proper divisors (28871624160).

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

10660523040 is a wasteful number, since it uses less digits than its factorization.

10660523040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12640 (or 12629 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 10660523040 in words is "ten billion, six hundred sixty million, five hundred twenty-three thousand, forty".