5412133584 has 800 divisors, whose sum is σ = 20417443200. Its totient is φ = 1358622720.

The previous prime is 5412133577. The next prime is 5412133609. The reversal of 5412133584 is 4853312145.

5412133584 is a `hidden beast` number, since 5 + 41 + 2 + 1 + 33 + 584 = 666.

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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 102115702 + ... + 102115754.

It is an arithmetic number, because the mean of its divisors is an integer number (25521804).

Almost surely, 2^5412133584 is an apocalyptic number.

5412133584 is a gapful number since it is divisible by the number (54) 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 5412133584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10208721600).

5412133584 is an abundant number, since it is smaller than the sum of its proper divisors (15005309616).

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

5412133584 is a wasteful number, since it uses less digits than its factorization.

5412133584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 130 counting only the distinct ones).

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

The square root of 5412133584 is about 73567.2045411541. The cubic root of 5412133584 is about 1755.7236901428.

The spelling of 5412133584 in words is "five billion, four hundred twelve million, one hundred thirty-three thousand, five hundred eighty-four".