20585476800 has 1008 divisors, whose sum is σ = 91005550272. Its totient is φ = 4305715200.

The previous prime is 20585476789. The next prime is 20585476853. The reversal of 20585476800 is 867458502.

20585476800 is a `hidden beast` number, since 2 + 0 + 585 + 4 + 7 + 68 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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 143 ways as a sum of consecutive naturals, for example, 70257454 + ... + 70257746.

It is an arithmetic number, because the mean of its divisors is an integer number (90283284).

Almost surely, 2^20585476800 is an apocalyptic number.

20585476800 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 20585476800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45502775136).

20585476800 is an abundant number, since it is smaller than the sum of its proper divisors (70420073472).

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

20585476800 is a wasteful number, since it uses less digits than its factorization.

20585476800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 20585476800 in words is "twenty billion, five hundred eighty-five million, four hundred seventy-six thousand, eight hundred".