221152264320 has 384 divisors, whose sum is σ = 796533471360. Its totient is φ = 52068876288.

The previous prime is 221152264303. The next prime is 221152264327. The reversal of 221152264320 is 23462251122.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (221152264327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7448224 + ... + 7477856.

It is an arithmetic number, because the mean of its divisors is an integer number (2074305915).

Almost surely, 2^221152264320 is an apocalyptic number.

221152264320 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 221152264320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398266735680).

221152264320 is an abundant number, since it is smaller than the sum of its proper divisors (575381207040).

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

221152264320 is a wasteful number, since it uses less digits than its factorization.

221152264320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29704 (or 29679 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 221152264320 in words is "two hundred twenty-one billion, one hundred fifty-two million, two hundred sixty-four thousand, three hundred twenty".