20879950348800 has 1920 divisors, whose sum is σ = 83955524716800. Its totient is φ = 5127531724800.

The previous prime is 20879950348739. The next prime is 20879950348843. The reversal of 20879950348800 is 884305997802.

20879950348800 is a `hidden beast` number, since 2 + 0 + 8 + 7 + 9 + 9 + 503 + 48 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×20879950348800² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19679500270 + ... + 19679501330.

It is an arithmetic number, because the mean of its divisors is an integer number (43726835790).

Almost surely, 2^{20879950348800} is an apocalyptic number.

20879950348800 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 20879950348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41977762358400).

20879950348800 is an abundant number, since it is smaller than the sum of its proper divisors (63075574368000).

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

20879950348800 is an equidigital number, since it uses as much as digits as its factorization.

20879950348800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 20879950348800 in words is "twenty trillion, eight hundred seventy-nine billion, nine hundred fifty million, three hundred forty-eight thousand, eight hundred".