20199082836240 has 5120 divisors, whose sum is σ = 99855551692800. Its totient is φ = 3671506206720.

The previous prime is 20199082836173. The next prime is 20199082836353. The reversal of 20199082836240 is 4263828099102.

20199082836240 is a `hidden beast` number, since 2 + 0 + 1 + 9 + 9 + 0 + 8 + 2 + 8 + 3 + 624 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 1023 ways as a sum of consecutive naturals, for example, 276699764844 + ... + 276699764916.

It is an arithmetic number, because the mean of its divisors is an integer number (19503037440).

Almost surely, 2^{20199082836240} is an apocalyptic number.

20199082836240 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 20199082836240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49927775846400).

20199082836240 is an abundant number, since it is smaller than the sum of its proper divisors (79656468856560).

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

20199082836240 is a wasteful number, since it uses less digits than its factorization.

20199082836240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 20199082836240 in words is "twenty trillion, one hundred ninety-nine billion, eighty-two million, eight hundred thirty-six thousand, two hundred forty".