10199279670840 has 1024 divisors, whose sum is σ = 39311548416000. Its totient is φ = 2333725655040.

The previous prime is 10199279670773. The next prime is 10199279670911. The reversal of 10199279670840 is 4807697299101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1272202512 + ... + 1272210528.

It is an arithmetic number, because the mean of its divisors is an integer number (38390184000).

Almost surely, 2^{10199279670840} is an apocalyptic number.

10199279670840 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 10199279670840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19655774208000).

10199279670840 is an abundant number, since it is smaller than the sum of its proper divisors (29112268745160).

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

10199279670840 is a wasteful number, since it uses less digits than its factorization.

10199279670840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8197 (or 8187 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 63.

The spelling of 10199279670840 in words is "ten trillion, one hundred ninety-nine billion, two hundred seventy-nine million, six hundred seventy thousand, eight hundred forty".