5655868934400 has 864 divisors, whose sum is σ = 21078931834240. Its totient is φ = 1502248550400.

The previous prime is 5655868934393. The next prime is 5655868934491. The reversal of 5655868934400 is 44398685565.

It is a happy number.

5655868934400 is a `hidden beast` number, since 5 + 6 + 5 + 586 + 8 + 9 + 3 + 4 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×5655868934400² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4380997755 + ... + 4380999045.

Almost surely, 2^{5655868934400} is an apocalyptic number.

5655868934400 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 5655868934400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10539465917120).

5655868934400 is an abundant number, since it is smaller than the sum of its proper divisors (15423062899840).

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

5655868934400 is an equidigital number, since it uses as much as digits as its factorization.

5655868934400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1651 (or 1614 counting only the distinct ones).

The product of its (nonzero) digits is 124416000, while the sum is 63.

The spelling of 5655868934400 in words is "five trillion, six hundred fifty-five billion, eight hundred sixty-eight million, nine hundred thirty-four thousand, four hundred".