221525378880 has 448 divisors, whose sum is σ = 812215434240. Its totient is φ = 50668240896.

The previous prime is 221525378869. The next prime is 221525378891. The reversal of 221525378880 is 88873525122.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (221525378869) and next prime (221525378891).

It is a Harshad number since it is a multiple of its sum of digits (51).

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 63 ways as a sum of consecutive naturals, for example, 16754032 + ... + 16767248.

It is an arithmetic number, because the mean of its divisors is an integer number (1812980880).

Almost surely, 2^221525378880 is an apocalyptic number.

221525378880 is a gapful number since it is divisible by the number (20) 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 221525378880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406107717120).

221525378880 is an abundant number, since it is smaller than the sum of its proper divisors (590690055360).

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

221525378880 is a wasteful number, since it uses less digits than its factorization.

221525378880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13346 (or 13336 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 51.

The spelling of 221525378880 in words is "two hundred twenty-one billion, five hundred twenty-five million, three hundred seventy-eight thousand, eight hundred eighty".