5587107840 has 320 divisors, whose sum is σ = 20078089020. Its totient is φ = 1486356480.

The previous prime is 5587107797. The next prime is 5587107857. The reversal of 5587107840 is 487017855.

It is a happy number.

5587107840 is a `hidden beast` number, since 558 + 7 + 10 + 7 + 84 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4619649024 + 967458816 = 67968^2 + 31104^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13270830 + ... + 13271250.

Almost surely, 2^5587107840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5587107840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10039044510).

5587107840 is an abundant number, since it is smaller than the sum of its proper divisors (14490981180).

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

5587107840 is an frugal number, since it uses more digits than its factorization.

5587107840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 45.

The square root of 5587107840 is about 74746.9587341184. The cubic root of 5587107840 is about 1774.4442182439. Note that the first 3 decimals are identical.

The spelling of 5587107840 in words is "five billion, five hundred eighty-seven million, one hundred seven thousand, eight hundred forty".