10199682560000 has 260 divisors, whose sum is σ = 26080959102792. Its totient is φ = 3984949248000.

The previous prime is 10199682559943. The next prime is 10199682560009. The reversal of 10199682560000 is 6528699101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10199682560009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 110033672 + ... + 110126328.

Almost surely, 2^{10199682560000} is an apocalyptic number.

10199682560000 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 10199682560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13040479551396).

10199682560000 is an abundant number, since it is smaller than the sum of its proper divisors (15881276542792).

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

10199682560000 is an frugal number, since it uses more digits than its factorization.

10199682560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92744 (or 92707 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 47.

The spelling of 10199682560000 in words is "ten trillion, one hundred ninety-nine billion, six hundred eighty-two million, five hundred sixty thousand".