220135628973888 has 42 divisors (see below), whose sum is σ = 630979033744514. Its totient is φ = 73378542991104.

The previous prime is 220135628973881. The next prime is 220135628973941. The reversal of 220135628973888 is 888379826531022.

It is a happy number.

220135628973888 is a `hidden beast` number, since 2 + 2 + 0 + 135 + 6 + 28 + 97 + 388 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 205237943472384 + 14897685501504 = 14326128^2 + 3859752^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220135628973881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 191089955131 + ... + 191089956282.

Almost surely, 2^{220135628973888} is an apocalyptic number.

It is an amenable number.

220135628973888 is an abundant number, since it is smaller than the sum of its proper divisors (410843404770626).

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

220135628973888 is a wasteful number, since it uses less digits than its factorization.

220135628973888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382179911431 (or 382179911418 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 72.

The spelling of 220135628973888 in words is "two hundred twenty trillion, one hundred thirty-five billion, six hundred twenty-eight million, nine hundred seventy-three thousand, eight hundred eighty-eight".