221655564777120 has 96 divisors (see below), whose sum is σ = 698611970327040. Its totient is φ = 59074547112960.

The previous prime is 221655564777083. The next prime is 221655564777131. The reversal of 221655564777120 is 21777465556122.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130418451 + ... + 132107090.

It is an arithmetic number, because the mean of its divisors is an integer number (7277208024240).

Almost surely, 2^{221655564777120} is an apocalyptic number.

221655564777120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221655564777120 is an abundant number, since it is smaller than the sum of its proper divisors (476956405549920).

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

221655564777120 is a wasteful number, since it uses less digits than its factorization.

221655564777120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262527318 (or 262527310 counting only the distinct ones).

The product of its (nonzero) digits is 49392000, while the sum is 60.

The spelling of 221655564777120 in words is "two hundred twenty-one trillion, six hundred fifty-five billion, five hundred sixty-four million, seven hundred seventy-seven thousand, one hundred twenty".