5387560000 has 105 divisors (see below), whose sum is σ = 13395898659. Its totient is φ = 2149152000.

The previous prime is 5387559979. The next prime is 5387560001. The reversal of 5387560000 is 657835.

It is a happy number.

The square root of 5387560000 is 73400.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 422384704 + 4965175296 = 20552^2 + 70464^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5387560001) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 14679817 + ... + 14680183.

Almost surely, 2^5387560000 is an apocalyptic number.

5387560000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5387560000 is the 73400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5387560000

5387560000 is an abundant number, since it is smaller than the sum of its proper divisors (8008338659).

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

5387560000 is an frugal number, since it uses more digits than its factorization.

5387560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The cubic root of 5387560000 is about 1753.0623929756.

The spelling of 5387560000 in words is "five billion, three hundred eighty-seven million, five hundred sixty thousand".