5533046400 has 384 divisors, whose sum is σ = 21014904960. Its totient is φ = 1253376000.

The previous prime is 5533046383. The next prime is 5533046413. The reversal of 5533046400 is 46403355.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×5533046400² = 61229204929105920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9206100 + ... + 9206700.

It is an arithmetic number, because the mean of its divisors is an integer number (54726315).

Almost surely, 2^5533046400 is an apocalyptic number.

5533046400 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 5533046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10507452480).

5533046400 is an abundant number, since it is smaller than the sum of its proper divisors (15481858560).

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

5533046400 is a wasteful number, since it uses less digits than its factorization.

5533046400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The square root of 5533046400 is about 74384.4499878839. The cubic root of 5533046400 is about 1768.7024228567.

Adding to 5533046400 its reverse (46403355), we get a palindrome (5579449755).

The spelling of 5533046400 in words is "five billion, five hundred thirty-three million, forty-six thousand, four hundred".