5213328132864 has 288 divisors, whose sum is σ = 14758548618240. Its totient is φ = 1630811750400.

The previous prime is 5213328132821. The next prime is 5213328132899. The reversal of 5213328132864 is 4682318233125.

It is a super-2 number, since 2×5213328132864² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 247453659 + ... + 247474725.

It is an arithmetic number, because the mean of its divisors is an integer number (51244960480).

Almost surely, 2^{5213328132864} 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 5213328132864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7379274309120).

5213328132864 is an abundant number, since it is smaller than the sum of its proper divisors (9545220485376).

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

5213328132864 is a wasteful number, since it uses less digits than its factorization.

5213328132864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21427 (or 21413 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 48.

The spelling of 5213328132864 in words is "five trillion, two hundred thirteen billion, three hundred twenty-eight million, one hundred thirty-two thousand, eight hundred sixty-four".