20019292001920 has 64 divisors (see below), whose sum is σ = 47859468337800. Its totient is φ = 8007574847488.

The previous prime is 20019292001903. The next prime is 20019292001981. The reversal of 20019292001920 is 2910029291002.

It can be written as a sum of positive squares in 4 ways, for example, as 14087651235904 + 5931640766016 = 3753352^2 + 2435496^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 20019292001920.

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 7 ways as a sum of consecutive naturals, for example, 40546296 + ... + 41037064.

Almost surely, 2^{20019292001920} is an apocalyptic number.

20019292001920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20019292001920 is an abundant number, since it is smaller than the sum of its proper divisors (27840176335880).

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

20019292001920 is an equidigital number, since it uses as much as digits as its factorization.

20019292001920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554525 (or 554513 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 37.

The spelling of 20019292001920 in words is "twenty trillion, nineteen billion, two hundred ninety-two million, one thousand, nine hundred twenty".