201566133991080 has 1024 divisors, whose sum is σ = 746606108160000. Its totient is φ = 48139122769920.

The previous prime is 201566133991049. The next prime is 201566133991127. The reversal of 201566133991080 is 80199331665102.

201566133991080 is a `hidden beast` number, since 2 + 0 + 1 + 5 + 6 + 613 + 3 + 9 + 9 + 10 + 8 + 0 = 666.

201566133991080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×201566133991080² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 24943212640 + ... + 24943220720.

It is an arithmetic number, because the mean of its divisors is an integer number (729107527500).

Almost surely, 2^{201566133991080} is an apocalyptic number.

201566133991080 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 201566133991080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373303054080000).

201566133991080 is an abundant number, since it is smaller than the sum of its proper divisors (545039974168920).

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

201566133991080 is a wasteful number, since it uses less digits than its factorization.

201566133991080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8819 (or 8809 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 201566133991080 in words is "two hundred one trillion, five hundred sixty-six billion, one hundred thirty-three million, nine hundred ninety-one thousand, eighty".