5533286400 has 540 divisors, whose sum is σ = 21128161600. Its totient is φ = 1380188160.

The previous prime is 5533286377. The next prime is 5533286413. The reversal of 5533286400 is 46823355.

It is a happy number.

5533286400 is a `hidden beast` number, since 5 + 5 + 3 + 3 + 2 + 8 + 640 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 70041561 + ... + 70041639.

Almost surely, 2^5533286400 is an apocalyptic number.

5533286400 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 5533286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10564080800).

5533286400 is an abundant number, since it is smaller than the sum of its proper divisors (15594875200).

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

5533286400 is a wasteful number, since it uses less digits than its factorization.

5533286400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 5533286400 is about 74386.0632107924. The cubic root of 5533286400 is about 1768.7279954144.

The spelling of 5533286400 in words is "five billion, five hundred thirty-three million, two hundred eighty-six thousand, four hundred".