200820962160 has 480 divisors, whose sum is σ = 834413344128. Its totient is φ = 42148823040.

The previous prime is 200820962123. The next prime is 200820962191. The reversal of 200820962160 is 61269028002.

It is a happy number.

200820962160 is a `hidden beast` number, since 2 + 0 + 0 + 8 + 20 + 9 + 621 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12637420 + ... + 12653300.

Almost surely, 2^200820962160 is an apocalyptic number.

200820962160 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 200820962160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417206672064).

200820962160 is an abundant number, since it is smaller than the sum of its proper divisors (633592381968).

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

200820962160 is a wasteful number, since it uses less digits than its factorization.

200820962160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16113 (or 16104 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 200820962160 in words is "two hundred billion, eight hundred twenty million, nine hundred sixty-two thousand, one hundred sixty".