201872782080 has 216 divisors, whose sum is σ = 699570716208. Its totient is φ = 53747048448.

The previous prime is 201872782079. The next prime is 201872782087. The reversal of 201872782080 is 80287278102.

201872782080 is a `hidden beast` number, since 201 + 87 + 278 + 20 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (201872782087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7393734 + ... + 7420986.

Almost surely, 2^201872782080 is an apocalyptic number.

201872782080 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 201872782080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349785358104).

201872782080 is an abundant number, since it is smaller than the sum of its proper divisors (497697934128).

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

201872782080 is a wasteful number, since it uses less digits than its factorization.

201872782080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27923 (or 27906 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 45.

The spelling of 201872782080 in words is "two hundred one billion, eight hundred seventy-two million, seven hundred eighty-two thousand, eighty".