200282097960 has 1152 divisors, whose sum is σ = 847113696000. Its totient is φ = 41218523136.

The previous prime is 200282097913. The next prime is 200282097973. The reversal of 200282097960 is 69790282002.

It is a super-2 number, since 2×200282097960² (a number of 23 digits) contains 22 as substring.

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 287 ways as a sum of consecutive naturals, for example, 1837450386 + ... + 1837450494.

It is an arithmetic number, because the mean of its divisors is an integer number (735341750).

Almost surely, 2^200282097960 is an apocalyptic number.

200282097960 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 200282097960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423556848000).

200282097960 is an abundant number, since it is smaller than the sum of its proper divisors (646831598040).

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

200282097960 is a wasteful number, since it uses less digits than its factorization.

200282097960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 200282097960 in words is "two hundred billion, two hundred eighty-two million, ninety-seven thousand, nine hundred sixty".