5213932416 has 576 divisors, whose sum is σ = 19808530560. Its totient is φ = 1349913600.

The previous prime is 5213932387. The next prime is 5213932433. The reversal of 5213932416 is 6142393125.

5213932416 is a `hidden beast` number, since 5 + 21 + 393 + 241 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16764901 + ... + 16765211.

It is an arithmetic number, because the mean of its divisors is an integer number (34389810).

Almost surely, 2^5213932416 is an apocalyptic number.

5213932416 is a gapful number since it is divisible by the number (56) 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 5213932416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9904265280).

5213932416 is an abundant number, since it is smaller than the sum of its proper divisors (14594598144).

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

5213932416 is a wasteful number, since it uses less digits than its factorization.

5213932416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 334 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 5213932416 is about 72207.5648114517. The cubic root of 5213932416 is about 1734.0241133606.

The spelling of 5213932416 in words is "five billion, two hundred thirteen million, nine hundred thirty-two thousand, four hundred sixteen".