5379813504 has 384 divisors, whose sum is σ = 17590838400. Its totient is φ = 1617408000.

The previous prime is 5379813493. The next prime is 5379813511. The reversal of 5379813504 is 4053189735.

5379813504 is a `hidden beast` number, since 53 + 7 + 98 + 1 + 3 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 5379813504.

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, 35627829 + ... + 35627979.

It is an arithmetic number, because the mean of its divisors is an integer number (45809475).

Almost surely, 2^5379813504 is an apocalyptic number.

5379813504 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 5379813504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8795419200).

5379813504 is an abundant number, since it is smaller than the sum of its proper divisors (12211024896).

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

5379813504 is a wasteful number, since it uses less digits than its factorization.

5379813504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 5379813504 is about 73347.2119715535. The cubic root of 5379813504 is about 1752.2217771419.

The spelling of 5379813504 in words is "five billion, three hundred seventy-nine million, eight hundred thirteen thousand, five hundred four".