10681309584000 has 768 divisors, whose sum is σ = 41969212421760. Its totient is φ = 2581813248000.

The previous prime is 10681309583993. The next prime is 10681309584017. The reversal of 10681309584000 is 48590318601.

10681309584000 is a `hidden beast` number, since 1 + 0 + 68 + 1 + 3 + 0 + 9 + 584 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×10681309584000² (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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 549638284 + ... + 549657716.

Almost surely, 2^{10681309584000} is an apocalyptic number.

10681309584000 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 10681309584000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20984606210880).

10681309584000 is an abundant number, since it is smaller than the sum of its proper divisors (31287902837760).

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

10681309584000 is a wasteful number, since it uses less digits than its factorization.

10681309584000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19826 (or 19801 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 10681309584000 in words is "ten trillion, six hundred eighty-one billion, three hundred nine million, five hundred eighty-four thousand".