221265505755 has 48 divisors (see below), whose sum is σ = 438387178944. Its totient is φ = 101133619200.

The previous prime is 221265505733. The next prime is 221265505759. The reversal of 221265505755 is 557505562122.

221265505755 is a `hidden beast` number, since 2 + 2 + 1 + 26 + 5 + 50 + 575 + 5 = 666.

It is not a de Polignac number, because 221265505755 - 2¹¹ = 221265503707 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 221265505755.

It is not an unprimeable number, because it can be changed into a prime (221265505759) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2018355 + ... + 2125155.

It is an arithmetic number, because the mean of its divisors is an integer number (9133066228).

Almost surely, 2^221265505755 is an apocalyptic number.

221265505755 is a deficient number, since it is larger than the sum of its proper divisors (217121673189).

221265505755 is a wasteful number, since it uses less digits than its factorization.

221265505755 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113396 (or 113393 counting only the distinct ones).

The product of its (nonzero) digits is 1050000, while the sum is 45.

The spelling of 221265505755 in words is "two hundred twenty-one billion, two hundred sixty-five million, five hundred five thousand, seven hundred fifty-five".