20575296000 has 1080 divisors, whose sum is σ = 89518813956. Its totient is φ = 4702924800.

The previous prime is 20575295987. The next prime is 20575296013. The reversal of 20575296000 is 69257502.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

20575296000 is a `hidden beast` number, since 2 + 0 + 575 + 29 + 60 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (20575295987) and next prime (20575296013).

It can be written as a sum of positive squares in 2 ways, for example, as 13908900096 + 6666395904 = 117936^2 + 81648^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2939327997 + ... + 2939328003.

Almost surely, 2^20575296000 is an apocalyptic number.

20575296000 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 20575296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44759406978).

20575296000 is an abundant number, since it is smaller than the sum of its proper divisors (68943517956).

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

20575296000 is an frugal number, since it uses more digits than its factorization.

20575296000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 20575296000 in words is "twenty billion, five hundred seventy-five million, two hundred ninety-six thousand".