5412096000 has 672 divisors, whose sum is σ = 20946907800. Its totient is φ = 1393459200.

The previous prime is 5412095989. The next prime is 5412096031. The reversal of 5412096000 is 6902145.

5412096000 is a `hidden beast` number, since 54 + 1 + 2 + 0 + 9 + 600 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1649009664 + 3763086336 = 40608^2 + 61344^2 .

It is a super-2 number, since 2×5412096000² = 58581566226432000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 186623986 + ... + 186624014.

Almost surely, 2^5412096000 is an apocalyptic number.

5412096000 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 5412096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10473453900).

5412096000 is an abundant number, since it is smaller than the sum of its proper divisors (15534811800).

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

5412096000 is an frugal number, since it uses more digits than its factorization.

5412096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 5412096000 is about 73566.9491008021. The cubic root of 5412096000 is about 1755.7196259864.

Adding to 5412096000 its reverse (6902145), we get a palindrome (5418998145).

The spelling of 5412096000 in words is "five billion, four hundred twelve million, ninety-six thousand".