5213623288896 has 735 divisors, whose sum is σ = 17618248170215. Its totient is φ = 1528921785600.

The previous prime is 5213623288873. The next prime is 5213623288897. The reversal of 5213623288896 is 6988823263125.

The square root of 5213623288896 is 2283336.

It is a perfect power (a square), and thus also a powerful number.

5213623288896 is a `hidden beast` number, since 5 + 213 + 6 + 2 + 328 + 8 + 8 + 96 = 666.

It is not an unprimeable number, because it can be changed into a prime (5213623288897) by changing a digit.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 168181396401 + ... + 168181396431.

Almost surely, 2^{5213623288896} is an apocalyptic number.

5213623288896 is the 2283336-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5213623288896

5213623288896 is an abundant number, since it is smaller than the sum of its proper divisors (12404624881319).

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

5213623288896 is an frugal number, since it uses more digits than its factorization.

5213623288896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 47 counting only the distinct ones).

The product of its digits is 59719680, while the sum is 63.

The spelling of 5213623288896 in words is "five trillion, two hundred thirteen billion, six hundred twenty-three million, two hundred eighty-eight thousand, eight hundred ninety-six".