20406854880 has 480 divisors, whose sum is σ = 75733346304. Its totient is φ = 5165005824.

The previous prime is 20406854873. The next prime is 20406854911. The reversal of 20406854880 is 8845860402.

20406854880 is a `hidden beast` number, since 2 + 0 + 40 + 68 + 548 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 79 ways as a sum of consecutive naturals, for example, 66471687 + ... + 66471993.

Almost surely, 2^20406854880 is an apocalyptic number.

20406854880 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 20406854880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37866673152).

20406854880 is an abundant number, since it is smaller than the sum of its proper divisors (55326491424).

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

20406854880 is a wasteful number, since it uses less digits than its factorization.

20406854880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 563 counting only the distinct ones).

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

The spelling of 20406854880 in words is "twenty billion, four hundred six million, eight hundred fifty-four thousand, eight hundred eighty".