201912238080 has 1440 divisors, whose sum is σ = 882161038080. Its totient is φ = 44144787456.

The previous prime is 201912238013. The next prime is 201912238117. The reversal of 201912238080 is 80832219102.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8778792949 + ... + 8778792971.

It is an arithmetic number, because the mean of its divisors is an integer number (612611832).

Almost surely, 2^201912238080 is an apocalyptic number.

201912238080 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 201912238080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441080519040).

201912238080 is an abundant number, since it is smaller than the sum of its proper divisors (680248800000).

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

201912238080 is an frugal number, since it uses more digits than its factorization.

201912238080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 201912238080 in words is "two hundred one billion, nine hundred twelve million, two hundred thirty-eight thousand, eighty".