20286676800 has 420 divisors, whose sum is σ = 80311445676. Its totient is φ = 4993228800.

The previous prime is 20286676777. The next prime is 20286676841. The reversal of 20286676800 is 867668202.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1434288384 + 18852388416 = 37872^2 + 137304^2 .

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 59 ways as a sum of consecutive naturals, for example, 1678780 + ... + 1690820.

Almost surely, 2^20286676800 is an apocalyptic number.

20286676800 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 20286676800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40155722838).

20286676800 is an abundant number, since it is smaller than the sum of its proper divisors (60024768876).

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

20286676800 is a wasteful number, since it uses less digits than its factorization.

20286676800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12088 (or 12064 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 20286676800 in words is "twenty billion, two hundred eighty-six million, six hundred seventy-six thousand, eight hundred".