201008688672 has 288 divisors, whose sum is σ = 586999224000. Its totient is φ = 60179834880.

The previous prime is 201008688667. The next prime is 201008688743. The reversal of 201008688672 is 276886800102.

201008688672 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×201008688672² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 575955954 + ... + 575956302.

It is an arithmetic number, because the mean of its divisors is an integer number (2038191750).

Almost surely, 2^201008688672 is an apocalyptic number.

201008688672 is a gapful number since it is divisible by the number (22) 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 201008688672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293499612000).

201008688672 is an abundant number, since it is smaller than the sum of its proper divisors (385990535328).

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

201008688672 is a wasteful number, since it uses less digits than its factorization.

201008688672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The spelling of 201008688672 in words is "two hundred one billion, eight million, six hundred eighty-eight thousand, six hundred seventy-two".