201388645785600 has 4032 divisors, whose sum is σ = 937106782160640. Its totient is φ = 41794220851200.

The previous prime is 201388645785563. The next prime is 201388645785601. The reversal of 201388645785600 is 6587546883102.

201388645785600 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 8 + 8 + 6 + 4 + 578 + 56 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201388645785601) 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 287 ways as a sum of consecutive naturals, for example, 3301453209570 + ... + 3301453209630.

Almost surely, 2^{201388645785600} is an apocalyptic number.

201388645785600 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 201388645785600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468553391080320).

201388645785600 is an abundant number, since it is smaller than the sum of its proper divisors (735718136375040).

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

201388645785600 is an frugal number, since it uses more digits than its factorization.

201388645785600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 201388645785600 in words is "two hundred one trillion, three hundred eighty-eight billion, six hundred forty-five million, seven hundred eighty-five thousand, six hundred".