20025512000 has 112 divisors (see below), whose sum is σ = 53408317872. Its totient is φ = 7393996800.

The previous prime is 20025511999. The next prime is 20025512009. The reversal of 20025512000 is 21552002.

It can be written as a sum of positive squares in 8 ways, for example, as 6097735744 + 13927776256 = 78088^2 + 118016^2 .

It is a super-2 number, since 2×20025512000² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20025512000.

It is not an unprimeable number, because it can be changed into a prime (20025512009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7724 + ... + 200276.

It is an arithmetic number, because the mean of its divisors is an integer number (476859981).

Almost surely, 2^20025512000 is an apocalyptic number.

20025512000 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 20025512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26704158936).

20025512000 is an abundant number, since it is smaller than the sum of its proper divisors (33382805872).

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

20025512000 is a wasteful number, since it uses less digits than its factorization.

20025512000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192593 (or 192573 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

The spelling of 20025512000 in words is "twenty billion, twenty-five million, five hundred twelve thousand".