5383564653600 has 1296 divisors, whose sum is σ = 22714827408000. Its totient is φ = 1195715727360.

The previous prime is 5383564653547. The next prime is 5383564653611. The reversal of 5383564653600 is 63564653835.

5383564653600 is a `hidden beast` number, since 5 + 38 + 35 + 6 + 46 + 536 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2470657311 + ... + 2470659489.

It is an arithmetic number, because the mean of its divisors is an integer number (17526873000).

Almost surely, 2^{5383564653600} is an apocalyptic number.

5383564653600 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 5383564653600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11357413704000).

5383564653600 is an abundant number, since it is smaller than the sum of its proper divisors (17331262754400).

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

5383564653600 is a wasteful number, since it uses less digits than its factorization.

5383564653600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2415 (or 2392 counting only the distinct ones).

The product of its (nonzero) digits is 23328000, while the sum is 54.

The spelling of 5383564653600 in words is "five trillion, three hundred eighty-three billion, five hundred sixty-four million, six hundred fifty-three thousand, six hundred".