201050511264 has 288 divisors, whose sum is σ = 620498672640. Its totient is φ = 63324260352.

The previous prime is 201050511247. The next prime is 201050511307. The reversal of 201050511264 is 462115050102.

201050511264 is a `hidden beast` number, since 20 + 10 + 505 + 1 + 126 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 184958529 + ... + 184959615.

It is an arithmetic number, because the mean of its divisors is an integer number (2154509280).

Almost surely, 2^201050511264 is an apocalyptic number.

201050511264 is a gapful number since it is divisible by the number (24) 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 201050511264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310249336320).

201050511264 is an abundant number, since it is smaller than the sum of its proper divisors (419448161376).

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

201050511264 is a wasteful number, since it uses less digits than its factorization.

201050511264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1737 (or 1704 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 201050511264 its reverse (462115050102), we get a palindrome (663165561366).

The spelling of 201050511264 in words is "two hundred one billion, fifty million, five hundred eleven thousand, two hundred sixty-four".