201080880000 has 3200 divisors, whose sum is σ = 1036396247040. Its totient is φ = 37324800000.

The previous prime is 201080879983. The next prime is 201080880001. The reversal of 201080880000 is 88080102.

201080880000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (3200).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201080880001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 6486479985 + ... + 6486480015.

Almost surely, 2^201080880000 is an apocalyptic number.

201080880000 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 201080880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518198123520).

201080880000 is an abundant number, since it is smaller than the sum of its proper divisors (835315367040).

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

201080880000 is a wasteful number, since it uses less digits than its factorization.

201080880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The spelling of 201080880000 in words is "two hundred one billion, eighty million, eight hundred eighty thousand".