201861088800 has 288 divisors, whose sum is σ = 776819030400. Its totient is φ = 44548546560.

The previous prime is 201861088787. The next prime is 201861088843. The reversal of 201861088800 is 8880168102.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 280036 + ... + 694364.

It is an arithmetic number, because the mean of its divisors is an integer number (2697288300).

Almost surely, 2^201861088800 is an apocalyptic number.

201861088800 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 201861088800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388409515200).

201861088800 is an abundant number, since it is smaller than the sum of its proper divisors (574957941600).

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

201861088800 is a wasteful number, since it uses less digits than its factorization.

201861088800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414388 (or 414375 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 42.

The spelling of 201861088800 in words is "two hundred one billion, eight hundred sixty-one million, eighty-eight thousand, eight hundred".