5587361337600 has 2025 divisors, whose sum is σ = 24465838335477. Its totient is φ = 1258049802240.

The previous prime is 5587361337581. The next prime is 5587361337601. The reversal of 5587361337600 is 67331637855.

The square root of 5587361337600 is 2363760.

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

5587361337600 is a `hidden beast` number, since 558 + 7 + 3 + 6 + 13 + 3 + 76 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2011450081536 + 3575911256064 = 1418256^2 + 1891008^2 .

It is a tau number, because it is divible by the number of its divisors (2025).

It is a super-2 number, since 2×5587361337600² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5587361337601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 83393452767 + ... + 83393452833.

Almost surely, 2^{5587361337600} is an apocalyptic number.

5587361337600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5587361337600 is the 2363760-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5587361337600

5587361337600 is an abundant number, since it is smaller than the sum of its proper divisors (18878476997877).

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

5587361337600 is an frugal number, since it uses more digits than its factorization.

5587361337600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 5587361337600 in words is "five trillion, five hundred eighty-seven billion, three hundred sixty-one million, three hundred thirty-seven thousand, six hundred".