201582365820 has 48 divisors (see below), whose sum is σ = 615742501248. Its totient is φ = 48868452160.

The previous prime is 201582365771. The next prime is 201582365983. The reversal of 201582365820 is 28563285102.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152713254 + ... + 152714573.

It is an arithmetic number, because the mean of its divisors is an integer number (12827968776).

Almost surely, 2^201582365820 is an apocalyptic number.

201582365820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201582365820 is an abundant number, since it is smaller than the sum of its proper divisors (414160135428).

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

201582365820 is a wasteful number, since it uses less digits than its factorization.

201582365820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305427850 (or 305427848 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The spelling of 201582365820 in words is "two hundred one billion, five hundred eighty-two million, three hundred sixty-five thousand, eight hundred twenty".