221235542824080 has 2560 divisors, whose sum is σ = 812539994112000. Its totient is φ = 49483779932160.

The previous prime is 221235542824039. The next prime is 221235542824091. The reversal of 221235542824080 is 80428245532122.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 1957836662104 + ... + 1957836662216.

It is an arithmetic number, because the mean of its divisors is an integer number (317398435200).

Almost surely, 2^{221235542824080} is an apocalyptic number.

221235542824080 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 221235542824080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406269997056000).

221235542824080 is an abundant number, since it is smaller than the sum of its proper divisors (591304451287920).

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

221235542824080 is a wasteful number, since it uses less digits than its factorization.

221235542824080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 2457600, while the sum is 48.

The spelling of 221235542824080 in words is "two hundred twenty-one trillion, two hundred thirty-five billion, five hundred forty-two million, eight hundred twenty-four thousand, eighty".