21199805930940 has 768 divisors, whose sum is σ = 76744793309184. Its totient is φ = 4253185843200.

The previous prime is 21199805930929. The next prime is 21199805930971. The reversal of 21199805930940 is 4903950899112.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5034385435 + ... + 5034389645.

It is an arithmetic number, because the mean of its divisors is an integer number (99928116288).

Almost surely, 2^{21199805930940} is an apocalyptic number.

21199805930940 is a gapful number since it is divisible by the number (20) 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 21199805930940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38372396654592).

21199805930940 is an abundant number, since it is smaller than the sum of its proper divisors (55544987378244).

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

21199805930940 is a wasteful number, since it uses less digits than its factorization.

21199805930940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4850 (or 4848 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 60.

The spelling of 21199805930940 in words is "twenty-one trillion, one hundred ninety-nine billion, eight hundred five million, nine hundred thirty thousand, nine hundred forty".