5216249664 has 336 divisors, whose sum is σ = 16568115200. Its totient is φ = 1622509056.

The previous prime is 5216249657. The next prime is 5216249681. The reversal of 5216249664 is 4669426125.

5216249664 is a `hidden beast` number, since 521 + 62 + 4 + 9 + 6 + 64 = 666.

It is a super-2 number, since 2×5216249664² = 54418521114360225792, which contains 22 as substring.

It is a congruent number.

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, 37526907 + ... + 37527045.

Almost surely, 2^5216249664 is an apocalyptic number.

5216249664 is a gapful number since it is divisible by the number (54) 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 5216249664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8284057600).

5216249664 is an abundant number, since it is smaller than the sum of its proper divisors (11351865536).

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

5216249664 is a wasteful number, since it uses less digits than its factorization.

5216249664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 290 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 5216249664 is about 72223.6087716475. The cubic root of 5216249664 is about 1734.2809616449.

The spelling of 5216249664 in words is "five billion, two hundred sixteen million, two hundred forty-nine thousand, six hundred sixty-four".