220895257536 has 168 divisors, whose sum is σ = 669738320160. Its totient is φ = 69465268224.

The previous prime is 220895257519. The next prime is 220895257573. The reversal of 220895257536 is 635752598022.

It is a happy number.

220895257536 is a `hidden beast` number, since 2 + 2 + 0 + 8 + 9 + 52 + 57 + 536 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 852900 + ... + 1081308.

It is an arithmetic number, because the mean of its divisors is an integer number (3986537620).

Almost surely, 2^220895257536 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 220895257536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334869160080).

220895257536 is an abundant number, since it is smaller than the sum of its proper divisors (448843062624).

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

220895257536 is a wasteful number, since it uses less digits than its factorization.

220895257536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228523 (or 228510 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

It can be divided in two parts, 22089 and 5257536, that added together give a triangular number (5279625 = T₃₂₄₉).

The spelling of 220895257536 in words is "two hundred twenty billion, eight hundred ninety-five million, two hundred fifty-seven thousand, five hundred thirty-six".