5675758387200 has 1260 divisors, whose sum is σ = 23032858438128. Its totient is φ = 1375941427200.

The previous prime is 5675758387093. The next prime is 5675758387249. The reversal of 5675758387200 is 27838575765.

5675758387200 is a `hidden beast` number, since 5 + 6 + 7 + 575 + 8 + 38 + 7 + 20 + 0 = 666.

It is a super-2 number, since 2×5675758387200² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 515978035195 + ... + 515978035205.

Almost surely, 2^{5675758387200} is an apocalyptic number.

5675758387200 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 5675758387200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11516429219064).

5675758387200 is an abundant number, since it is smaller than the sum of its proper divisors (17357100050928).

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

5675758387200 is an frugal number, since it uses more digits than its factorization.

5675758387200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 98784000, while the sum is 63.

The spelling of 5675758387200 in words is "five trillion, six hundred seventy-five billion, seven hundred fifty-eight million, three hundred eighty-seven thousand, two hundred".