5601235200 has 324 divisors, whose sum is σ = 20326917744. Its totient is φ = 1357312000.

The previous prime is 5601235183. The next prime is 5601235219. The reversal of 5601235200 is 25321065.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2321995 + ... + 2324405.

Almost surely, 2^5601235200 is an apocalyptic number.

5601235200 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 5601235200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10163458872).

5601235200 is an abundant number, since it is smaller than the sum of its proper divisors (14725682544).

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

5601235200 is a wasteful number, since it uses less digits than its factorization.

5601235200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2462 (or 2432 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 5601235200 is about 74841.4003075838. The cubic root of 5601235200 is about 1775.9385580562.

Adding to 5601235200 its reverse (25321065), we get a palindrome (5626556265).

The spelling of 5601235200 in words is "five billion, six hundred one million, two hundred thirty-five thousand, two hundred".