201302599680 has 1728 divisors, whose sum is σ = 913522821120. Its totient is φ = 42138206208.

The previous prime is 201302599651. The next prime is 201302599703. The reversal of 201302599680 is 86995203102.

201302599680 is a `hidden beast` number, since 20 + 1 + 30 + 2 + 599 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×201302599680² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 143 ways as a sum of consecutive naturals, for example, 1585059777 + ... + 1585059903.

It is an arithmetic number, because the mean of its divisors is an integer number (528659040).

Almost surely, 2^201302599680 is an apocalyptic number.

201302599680 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 201302599680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456761410560).

201302599680 is an abundant number, since it is smaller than the sum of its proper divisors (712220221440).

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

201302599680 is a wasteful number, since it uses less digits than its factorization.

201302599680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 201302599680 in words is "two hundred one billion, three hundred two million, five hundred ninety-nine thousand, six hundred eighty".