5587081920 has 840 divisors, whose sum is σ = 23839011504. Its totient is φ = 1237856256.

The previous prime is 5587081873. The next prime is 5587081957. The reversal of 5587081920 is 291807855.

It is a happy number.

5587081920 is a `hidden beast` number, since 558 + 7 + 0 + 8 + 1 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

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 (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 67314199 + ... + 67314281.

Almost surely, 2^5587081920 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 5587081920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11919505752).

5587081920 is an abundant number, since it is smaller than the sum of its proper divisors (18251929584).

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

5587081920 is a wasteful number, since it uses less digits than its factorization.

5587081920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The square root of 5587081920 is about 74746.7853489366. The cubic root of 5587081920 is about 1774.4414742085.

The spelling of 5587081920 in words is "five billion, five hundred eighty-seven million, eighty-one thousand, nine hundred twenty".