10660863232800 has 576 divisors, whose sum is σ = 42080395432320. Its totient is φ = 2583318528000.

The previous prime is 10660863232769. The next prime is 10660863232801. The reversal of 10660863232800 is 823236806601.

It is a happy number.

10660863232800 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 0 + 8 + 632 + 3 + 2 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×10660863232800² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10660863232801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 625592280 + ... + 625609320.

It is an arithmetic number, because the mean of its divisors is an integer number (73056242070).

Almost surely, 2^{10660863232800} is an apocalyptic number.

10660863232800 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 10660863232800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21040197716160).

10660863232800 is an abundant number, since it is smaller than the sum of its proper divisors (31419532199520).

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

10660863232800 is a wasteful number, since it uses less digits than its factorization.

10660863232800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19714 (or 19695 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 10660863232800 in words is "ten trillion, six hundred sixty billion, eight hundred sixty-three million, two hundred thirty-two thousand, eight hundred".