20799142543872 has 1920 divisors, whose sum is σ = 79448354979840. Its totient is φ = 5257521561600.

The previous prime is 20799142543871. The next prime is 20799142543931. The reversal of 20799142543872 is 27834524199702.

20799142543872 is a `hidden beast` number, since 2 + 0 + 7 + 9 + 9 + 1 + 4 + 2 + 543 + 87 + 2 = 666.

It is a super-2 number, since 2×20799142543872² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (20799142543871) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 105579403678 + ... + 105579403874.

It is an arithmetic number, because the mean of its divisors is an integer number (41379351552).

Almost surely, 2^{20799142543872} is an apocalyptic number.

20799142543872 is a gapful number since it is divisible by the number (22) 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 20799142543872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39724177489920).

20799142543872 is an abundant number, since it is smaller than the sum of its proper divisors (58649212435968).

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

20799142543872 is a wasteful number, since it uses less digits than its factorization.

20799142543872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 20799142543872 in words is "twenty trillion, seven hundred ninety-nine billion, one hundred forty-two million, five hundred forty-three thousand, eight hundred seventy-two".