220689587715552 has 144 divisors (see below), whose sum is σ = 664571354297760. Its totient is φ = 69228810387456.

The previous prime is 220689587715533. The next prime is 220689587715563. The reversal of 220689587715552 is 255517785986022.

220689587715552 is a `hidden beast` number, since 2 + 2 + 0 + 6 + 8 + 9 + 58 + 7 + 7 + 15 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45265288 + ... + 49903160.

It is an arithmetic number, because the mean of its divisors is an integer number (4615078849290).

Almost surely, 2^{220689587715552} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220689587715552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332285677148880).

220689587715552 is an abundant number, since it is smaller than the sum of its proper divisors (443881766582208).

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

220689587715552 is a wasteful number, since it uses less digits than its factorization.

220689587715552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4647625 (or 4647614 counting only the distinct ones).

The product of its (nonzero) digits is 846720000, while the sum is 72.

The spelling of 220689587715552 in words is "two hundred twenty trillion, six hundred eighty-nine billion, five hundred eighty-seven million, seven hundred fifteen thousand, five hundred fifty-two".