5361854400 has 1008 divisors, whose sum is σ = 24236172000. Its totient is φ = 1145733120.

The previous prime is 5361854363. The next prime is 5361854419. The reversal of 5361854400 is 44581635.

It is a happy number.

5361854400 is a `hidden beast` number, since 5 + 36 + 185 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 35985526 + ... + 35985674.

Almost surely, 2^5361854400 is an apocalyptic number.

5361854400 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 5361854400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12118086000).

5361854400 is an abundant number, since it is smaller than the sum of its proper divisors (18874317600).

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

5361854400 is a wasteful number, since it uses less digits than its factorization.

5361854400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 5361854400 is about 73224.6843625836. The cubic root of 5361854400 is about 1750.2698250613.

The spelling of 5361854400 in words is "five billion, three hundred sixty-one million, eight hundred fifty-four thousand, four hundred".