532579149216 has 288 divisors, whose sum is σ = 1625909096448. Its totient is φ = 164776550400.

The previous prime is 532579149149. The next prime is 532579149283. The reversal of 532579149216 is 612941975235.

532579149216 is a `hidden beast` number, since 5 + 3 + 2 + 57 + 91 + 492 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (532579149149) and next prime (532579149283).

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107567541 + ... + 107572491.

It is an arithmetic number, because the mean of its divisors is an integer number (5645517696).

Almost surely, 2^532579149216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 532579149216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812954548224).

532579149216 is an abundant number, since it is smaller than the sum of its proper divisors (1093329947232).

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

532579149216 is a wasteful number, since it uses less digits than its factorization.

532579149216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5284 (or 5273 counting only the distinct ones).

The product of its digits is 4082400, while the sum is 54.

The spelling of 532579149216 in words is "five hundred thirty-two billion, five hundred seventy-nine million, one hundred forty-nine thousand, two hundred sixteen".