220096534319424 has 448 divisors, whose sum is σ = 748667062886400. Its totient is φ = 62103840086016.

The previous prime is 220096534319419. The next prime is 220096534319483. The reversal of 220096534319424 is 424913435690022.

It is a happy number.

220096534319424 is a `hidden beast` number, since 2 + 2 + 0 + 0 + 96 + 5 + 343 + 194 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2777939842 + ... + 2778019070.

It is an arithmetic number, because the mean of its divisors is an integer number (1671131836800).

Almost surely, 2^{220096534319424} is an apocalyptic number.

220096534319424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220096534319424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374333531443200).

220096534319424 is an abundant number, since it is smaller than the sum of its proper divisors (528570528566976).

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

220096534319424 is a wasteful number, since it uses less digits than its factorization.

220096534319424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82107 (or 82091 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 220096534319424 in words is "two hundred twenty trillion, ninety-six billion, five hundred thirty-four million, three hundred nineteen thousand, four hundred twenty-four".