20286573600 has 576 divisors, whose sum is σ = 72955330560. Its totient is φ = 4877107200.

The previous prime is 20286573547. The next prime is 20286573653. The reversal of 20286573600 is 637568202.

It is an interprime number because it is at equal distance from previous prime (20286573547) and next prime (20286573653).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 159736737 + ... + 159736863.

It is an arithmetic number, because the mean of its divisors is an integer number (126658560).

Almost surely, 2^20286573600 is an apocalyptic number.

20286573600 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 20286573600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36477665280).

20286573600 is an abundant number, since it is smaller than the sum of its proper divisors (52668756960).

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

20286573600 is a wasteful number, since it uses less digits than its factorization.

20286573600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 20286573600 in words is "twenty billion, two hundred eighty-six million, five hundred seventy-three thousand, six hundred".