5213880672 has 576 divisors, whose sum is σ = 19575489024. Its totient is φ = 1192181760.

The previous prime is 5213880647. The next prime is 5213880673. The reversal of 5213880672 is 2760883125.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5213880673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15471288 + ... + 15471624.

It is an arithmetic number, because the mean of its divisors is an integer number (33985224).

Almost surely, 2^5213880672 is an apocalyptic number.

5213880672 is a gapful number since it is divisible by the number (52) 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 5213880672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9787744512).

5213880672 is an abundant number, since it is smaller than the sum of its proper divisors (14361608352).

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

5213880672 is a wasteful number, since it uses less digits than its factorization.

5213880672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 5213880672 is about 72207.2065101538. The cubic root of 5213880672 is about 1734.0183770863.

The spelling of 5213880672 in words is "five billion, two hundred thirteen million, eight hundred eighty thousand, six hundred seventy-two".