201332879020 has 192 divisors, whose sum is σ = 530412503040. Its totient is φ = 62500128768.

The previous prime is 201332879009. The next prime is 201332879057. The reversal of 201332879020 is 20978233102.

It is a super-6 number, since 6×201332879020⁶ (a number of 69 digits) contains 666666 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20566567 + ... + 20576353.

It is an arithmetic number, because the mean of its divisors is an integer number (2762565120).

Almost surely, 2^201332879020 is an apocalyptic number.

201332879020 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 201332879020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265206251520).

201332879020 is an abundant number, since it is smaller than the sum of its proper divisors (329079624020).

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

201332879020 is a wasteful number, since it uses less digits than its factorization.

201332879020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10032 (or 10030 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The spelling of 201332879020 in words is "two hundred one billion, three hundred thirty-two million, eight hundred seventy-nine thousand, twenty".