20884748451840 has 3240 divisors, whose sum is σ = 95724199712232. Its totient is φ = 4334215495680.

The previous prime is 20884748451817. The next prime is 20884748451911. The reversal of 20884748451840 is 4815484748802.

20884748451840 is a `hidden beast` number, since 2 + 0 + 8 + 8 + 4 + 74 + 8 + 4 + 518 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 637340368896 + 20247408082944 = 798336^2 + 4499712^2 .

It is a tau number, because it is divible by the number of its divisors (3240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 342372925410 + ... + 342372925470.

Almost surely, 2^{20884748451840} is an apocalyptic number.

20884748451840 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 20884748451840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47862099856116).

20884748451840 is an abundant number, since it is smaller than the sum of its proper divisors (74839451260392).

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

20884748451840 is an frugal number, since it uses more digits than its factorization.

20884748451840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 73400320, while the sum is 63.

The spelling of 20884748451840 in words is "twenty trillion, eight hundred eighty-four billion, seven hundred forty-eight million, four hundred fifty-one thousand, eight hundred forty".