5386354459200 has 1680 divisors, whose sum is σ = 23346741337920. Its totient is φ = 1200863232000.

The previous prime is 5386354459151. The next prime is 5386354459231. The reversal of 5386354459200 is 29544536835.

It is a happy number.

5386354459200 is a `hidden beast` number, since 5 + 3 + 8 + 6 + 3 + 5 + 44 + 592 + 0 + 0 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 9433194915 + ... + 9433195485.

It is an arithmetic number, because the mean of its divisors is an integer number (13896869844).

Almost surely, 2^{5386354459200} is an apocalyptic number.

5386354459200 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 5386354459200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11673370668960).

5386354459200 is an abundant number, since it is smaller than the sum of its proper divisors (17960386878720).

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

5386354459200 is a wasteful number, since it uses less digits than its factorization.

5386354459200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 54.

The spelling of 5386354459200 in words is "five trillion, three hundred eighty-six billion, three hundred fifty-four million, four hundred fifty-nine thousand, two hundred".