20410482679920 has 640 divisors, whose sum is σ = 71887941734400. Its totient is φ = 5321272320000.

The previous prime is 20410482679843. The next prime is 20410482679931. The reversal of 20410482679920 is 2997628401402.

It is a happy number.

20410482679920 is a `hidden beast` number, since 2 + 0 + 4 + 1 + 0 + 482 + 6 + 79 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27177739545 + ... + 27177740295.

It is an arithmetic number, because the mean of its divisors is an integer number (112324908960).

Almost surely, 2^{20410482679920} is an apocalyptic number.

20410482679920 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 20410482679920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35943970867200).

20410482679920 is an abundant number, since it is smaller than the sum of its proper divisors (51477459054480).

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

20410482679920 is a wasteful number, since it uses less digits than its factorization.

20410482679920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1806 (or 1794 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 20410482679920 in words is "twenty trillion, four hundred ten billion, four hundred eighty-two million, six hundred seventy-nine thousand, nine hundred twenty".