10199118579840 has 384 divisors, whose sum is σ = 35420112000000. Its totient is φ = 2704240484352.

The previous prime is 10199118579817. The next prime is 10199118579893. The reversal of 10199118579840 is 4897581199101.

10199118579840 is a `hidden beast` number, since 1 + 0 + 1 + 9 + 9 + 1 + 18 + 579 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2749827906 + ... + 2749831614.

It is an arithmetic number, because the mean of its divisors is an integer number (92239875000).

Almost surely, 2^{10199118579840} is an apocalyptic number.

10199118579840 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 10199118579840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17710056000000).

10199118579840 is an abundant number, since it is smaller than the sum of its proper divisors (25220993420160).

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

10199118579840 is a wasteful number, since it uses less digits than its factorization.

10199118579840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6332 (or 6317 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 63.

The spelling of 10199118579840 in words is "ten trillion, one hundred ninety-nine billion, one hundred eighteen million, five hundred seventy-nine thousand, eight hundred forty".