201211585552800 has 360 divisors, whose sum is σ = 734684503557312. Its totient is φ = 53590248000000.

The previous prime is 201211585552781. The next prime is 201211585552811. The reversal of 201211585552800 is 8255585112102.

201211585552800 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 1 + 15 + 8 + 5 + 552 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×201211585552800² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 50638425 + ... + 54467175.

Almost surely, 2^{201211585552800} is an apocalyptic number.

201211585552800 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 201211585552800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367342251778656).

201211585552800 is an abundant number, since it is smaller than the sum of its proper divisors (533472918004512).

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

201211585552800 is a wasteful number, since it uses less digits than its factorization.

201211585552800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3829594 (or 3829572 counting only the distinct ones).

The product of its (nonzero) digits is 320000, while the sum is 45.

The spelling of 201211585552800 in words is "two hundred one trillion, two hundred eleven billion, five hundred eighty-five million, five hundred fifty-two thousand, eight hundred".