201582094896 has 720 divisors, whose sum is σ = 752715198144. Its totient is φ = 49743396864.

The previous prime is 201582094823. The next prime is 201582094933. The reversal of 201582094896 is 698490285102.

It is a happy number.

201582094896 is a `hidden beast` number, since 2 + 0 + 158 + 2 + 0 + 9 + 489 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 400759381 + ... + 400759883.

Almost surely, 2^201582094896 is an apocalyptic number.

201582094896 is a gapful number since it is divisible by the number (26) 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 201582094896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376357599072).

201582094896 is an abundant number, since it is smaller than the sum of its proper divisors (551133103248).

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

201582094896 is a wasteful number, since it uses less digits than its factorization.

201582094896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 201582094896 in words is "two hundred one billion, five hundred eighty-two million, ninety-four thousand, eight hundred ninety-six".