5366354486400 has 288 divisors, whose sum is σ = 19263060835200. Its totient is φ = 1422457559040.

The previous prime is 5366354486399. The next prime is 5366354486407. The reversal of 5366354486400 is 46844536635.

5366354486400 is a `hidden beast` number, since 5 + 36 + 6 + 3 + 544 + 8 + 64 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×5366354486400³ (a number of 39 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (5366354486407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4251721 + ... + 5367479.

It is an arithmetic number, because the mean of its divisors is an integer number (66885627900).

Almost surely, 2^{5366354486400} is an apocalyptic number.

5366354486400 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 5366354486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9631530417600).

5366354486400 is an abundant number, since it is smaller than the sum of its proper divisors (13896706348800).

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

5366354486400 is a wasteful number, since it uses less digits than its factorization.

5366354486400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1115956 (or 1115936 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 54.

The spelling of 5366354486400 in words is "five trillion, three hundred sixty-six billion, three hundred fifty-four million, four hundred eighty-six thousand, four hundred".