20282712800 has 432 divisors, whose sum is σ = 60956098560. Its totient is φ = 6453457920.

The previous prime is 20282712797. The next prime is 20282712851. The reversal of 20282712800 is 821728202.

It is a super-2 number, since 2×20282712800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 159706337 + ... + 159706463.

It is an arithmetic number, because the mean of its divisors is an integer number (141102080).

Almost surely, 2^20282712800 is an apocalyptic number.

20282712800 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 20282712800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30478049280).

20282712800 is an abundant number, since it is smaller than the sum of its proper divisors (40673385760).

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

20282712800 is a wasteful number, since it uses less digits than its factorization.

20282712800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 32.

The spelling of 20282712800 in words is "twenty billion, two hundred eighty-two million, seven hundred twelve thousand, eight hundred".