20022586000 has 160 divisors (see below), whose sum is σ = 50780901600. Its totient is φ = 7625318400.

The previous prime is 20022585977. The next prime is 20022586027. The reversal of 20022586000 is 68522002.

It can be written as a sum of positive squares in 16 ways, for example, as 18296349696 + 1726236304 = 135264^2 + 41548^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4231636 + ... + 4236364.

It is an arithmetic number, because the mean of its divisors is an integer number (317380635).

Almost surely, 2^20022586000 is an apocalyptic number.

20022586000 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 20022586000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25390450800).

20022586000 is an abundant number, since it is smaller than the sum of its proper divisors (30758315600).

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

20022586000 is a wasteful number, since it uses less digits than its factorization.

20022586000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4854 (or 4838 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

It can be divided in two parts, 200225 and 86000, that added together give a square (286225 = 535²).

The spelling of 20022586000 in words is "twenty billion, twenty-two million, five hundred eighty-six thousand".