5587940047200 has 576 divisors, whose sum is σ = 21248989977600. Its totient is φ = 1274978181120.

The previous prime is 5587940047199. The next prime is 5587940047247. The reversal of 5587940047200 is 27400497855.

It is a happy number.

It is a super-2 number, since 2×5587940047200² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 488151877 + ... + 488163323.

It is an arithmetic number, because the mean of its divisors is an integer number (36890607600).

Almost surely, 2^{5587940047200} is an apocalyptic number.

5587940047200 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 5587940047200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10624494988800).

5587940047200 is an abundant number, since it is smaller than the sum of its proper divisors (15661049930400).

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

5587940047200 is a wasteful number, since it uses less digits than its factorization.

5587940047200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12084 (or 12057 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 51.

The spelling of 5587940047200 in words is "five trillion, five hundred eighty-seven billion, nine hundred forty million, forty-seven thousand, two hundred".