5607802886400 has 3645 divisors, whose sum is σ = 25798581426387. Its totient is φ = 1200332390400.

The previous prime is 5607802886311. The next prime is 5607802886417. The reversal of 5607802886400 is 46882087065.

The square root of 5607802886400 is 2368080.

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

5607802886400 is a `hidden beast` number, since 5 + 60 + 7 + 80 + 28 + 86 + 400 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1445419489536 + 4162383396864 = 1202256^2 + 2040192^2 .

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

It is an unprimeable number.

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 404 ways as a sum of consecutive naturals, for example, 243817516789 + ... + 243817516811.

Almost surely, 2^{5607802886400} is an apocalyptic number.

5607802886400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5607802886400 is the 2368080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5607802886400

5607802886400 is an abundant number, since it is smaller than the sum of its proper divisors (20190778539987).

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

5607802886400 is a wasteful number, since it uses less digits than its factorization.

5607802886400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 5607802886400 in words is "five trillion, six hundred seven billion, eight hundred two million, eight hundred eighty-six thousand, four hundred".