5379538000 has 80 divisors (see below), whose sum is σ = 13040660880. Its totient is φ = 2146368000.

The previous prime is 5379537991. The next prime is 5379538027. The reversal of 5379538000 is 8359735.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5073427984 + 306110016 = 71228^2 + 17496^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 838806 + ... + 845194.

It is an arithmetic number, because the mean of its divisors is an integer number (163008261).

Almost surely, 2^5379538000 is an apocalyptic number.

5379538000 is a gapful number since it is divisible by the number (50) 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 5379538000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6520330440).

5379538000 is an abundant number, since it is smaller than the sum of its proper divisors (7661122880).

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

5379538000 is a wasteful number, since it uses less digits than its factorization.

5379538000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6833 (or 6817 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 40.

The square root of 5379538000 is about 73345.3338665794. Note that the first 3 decimals coincide. The cubic root of 5379538000 is about 1752.1918657984.

The spelling of 5379538000 in words is "five billion, three hundred seventy-nine million, five hundred thirty-eight thousand".