5379139584 has 384 divisors, whose sum is σ = 19629792000. Its totient is φ = 1417347072.

The previous prime is 5379139583. The next prime is 5379139657. The reversal of 5379139584 is 4859319735.

5379139584 is a `hidden beast` number, since 53 + 7 + 9 + 1 + 3 + 9 + 584 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (4082400) is a multiple of the sum of its prime factors (1120).

It is a self number, because there is not a number n which added to its sum of digits gives 5379139584.

It is not an unprimeable number, because it can be changed into a prime (5379139583) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5031402 + ... + 5032470.

It is an arithmetic number, because the mean of its divisors is an integer number (51119250).

Almost surely, 2^5379139584 is an apocalyptic number.

5379139584 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 5379139584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9814896000).

5379139584 is an abundant number, since it is smaller than the sum of its proper divisors (14250652416).

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

5379139584 is a wasteful number, since it uses less digits than its factorization.

5379139584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120 (or 1094 counting only the distinct ones).

The product of its digits is 4082400, while the sum is 54.

The square root of 5379139584 is about 73342.6177880228. The cubic root of 5379139584 is about 1752.1486081488.

The spelling of 5379139584 in words is "five billion, three hundred seventy-nine million, one hundred thirty-nine thousand, five hundred eighty-four".