71553352320 has 192 divisors, whose sum is σ = 256234436640. Its totient is φ = 19080852480.

The previous prime is 71553352313. The next prime is 71553352331. The reversal of 71553352320 is 2325335517.

71553352320 is a `hidden beast` number, since 71 + 5 + 533 + 52 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74526 + ... + 385565.

Almost surely, 2^71553352320 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 71553352320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128117218320).

71553352320 is an abundant number, since it is smaller than the sum of its proper divisors (184681084320).

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

71553352320 is an equidigital number, since it uses as much as digits as its factorization.

71553352320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460125 (or 460101 counting only the distinct ones).

The product of its (nonzero) digits is 94500, while the sum is 36.

Adding to 71553352320 its reverse (2325335517), we get a palindrome (73878687837).

The spelling of 71553352320 in words is "seventy-one billion, five hundred fifty-three million, three hundred fifty-two thousand, three hundred twenty".