5432061600 has 648 divisors, whose sum is σ = 22662729180. Its totient is φ = 1220567040.

The previous prime is 5432061599. The next prime is 5432061611. The reversal of 5432061600 is 61602345.

5432061600 is a `hidden beast` number, since 5 + 43 + 2 + 0 + 616 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2349147024 + 3082914576 = 48468^2 + 55524^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 31399114 + ... + 31399286.

Almost surely, 2^5432061600 is an apocalyptic number.

5432061600 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 5432061600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11331364590).

5432061600 is an abundant number, since it is smaller than the sum of its proper divisors (17230667580).

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

5432061600 is a wasteful number, since it uses less digits than its factorization.

5432061600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 5432061600 is about 73702.5209880910. The cubic root of 5432061600 is about 1757.8759672847.

Adding to 5432061600 its reverse (61602345), we get a palindrome (5493663945).

The spelling of 5432061600 in words is "five billion, four hundred thirty-two million, sixty-one thousand, six hundred".