13222552320 has 576 divisors, whose sum is σ = 49448448000. Its totient is φ = 3341205504.

The previous prime is 13222552279. The next prime is 13222552337. The reversal of 13222552320 is 2325522231.

13222552320 is a `hidden beast` number, since 132 + 2 + 2 + 5 + 523 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 79176877 + ... + 79177043.

It is an arithmetic number, because the mean of its divisors is an integer number (85848000).

Almost surely, 2^13222552320 is an apocalyptic number.

13222552320 is a gapful number since it is divisible by the number (10) 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 13222552320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24724224000).

13222552320 is an abundant number, since it is smaller than the sum of its proper divisors (36225895680).

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

13222552320 is a wasteful number, since it uses less digits than its factorization.

13222552320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The spelling of 13222552320 in words is "thirteen billion, two hundred twenty-two million, five hundred fifty-two thousand, three hundred twenty".