201775228058880 has 5184 divisors, whose sum is σ = 912054300917760. Its totient is φ = 40915678003200.

The previous prime is 201775228058861. The next prime is 201775228058909. The reversal of 201775228058880 is 88850822577102.

201775228058880 is a `hidden beast` number, since 20 + 1 + 7 + 7 + 5 + 2 + 28 + 0 + 588 + 8 + 0 = 666.

201775228058880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1540268916415 + ... + 1540268916545.

It is an arithmetic number, because the mean of its divisors is an integer number (175936400640).

Almost surely, 2^{201775228058880} is an apocalyptic number.

201775228058880 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 201775228058880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456027150458880).

201775228058880 is an abundant number, since it is smaller than the sum of its proper divisors (710279072858880).

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

201775228058880 is a wasteful number, since it uses less digits than its factorization.

201775228058880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 40140800, while the sum is 63.

The spelling of 201775228058880 in words is "two hundred one trillion, seven hundred seventy-five billion, two hundred twenty-eight million, fifty-eight thousand, eight hundred eighty".