5587973100 has 216 divisors, whose sum is σ = 19048655808. Its totient is φ = 1364428800.

The previous prime is 5587973077. The next prime is 5587973101. The reversal of 5587973100 is 13797855.

5587973100 is a `hidden beast` number, since 558 + 7 + 97 + 3 + 1 + 0 + 0 = 666.

It is a super-2 number, since 2×5587973100² = 62450886732647220000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (5587973101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 561165 + ... + 571035.

Almost surely, 2^5587973100 is an apocalyptic number.

5587973100 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 5587973100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9524327904).

5587973100 is an abundant number, since it is smaller than the sum of its proper divisors (13460682708).

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

5587973100 is a wasteful number, since it uses less digits than its factorization.

5587973100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9945 (or 9935 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 45.

The square root of 5587973100 is about 74752.7464378400. The cubic root of 5587973100 is about 1774.5358146117.

The spelling of 5587973100 in words is "five billion, five hundred eighty-seven million, nine hundred seventy-three thousand, one hundred".