20202285826800 has 960 divisors, whose sum is σ = 89702058700800. Its totient is φ = 4195346918400.

The previous prime is 20202285826783. The next prime is 20202285826829. The reversal of 20202285826800 is 862858220202.

20202285826800 is a `hidden beast` number, since 2 + 0 + 2 + 0 + 2 + 2 + 8 + 582 + 68 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 1585854831 + ... + 1585867569.

It is an arithmetic number, because the mean of its divisors is an integer number (93439644480).

Almost surely, 2^{20202285826800} is an apocalyptic number.

20202285826800 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 20202285826800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44851029350400).

20202285826800 is an abundant number, since it is smaller than the sum of its proper divisors (69499772874000).

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

20202285826800 is a wasteful number, since it uses less digits than its factorization.

20202285826800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14691 (or 14674 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 20202285826800 in words is "twenty trillion, two hundred two billion, two hundred eighty-five million, eight hundred twenty-six thousand, eight hundred".