5631612230400 has 432 divisors, whose sum is σ = 20035804772256. Its totient is φ = 1384812380160.

The previous prime is 5631612230389. The next prime is 5631612230401. The reversal of 5631612230400 is 40322161365.

It is not an unprimeable number, because it can be changed into a prime (5631612230401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 252833664 + ... + 252855936.

Almost surely, 2^{5631612230400} is an apocalyptic number.

5631612230400 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 5631612230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10017902386128).

5631612230400 is an abundant number, since it is smaller than the sum of its proper divisors (14404192541856).

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

5631612230400 is a wasteful number, since it uses less digits than its factorization.

5631612230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23328 (or 23309 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

Adding to 5631612230400 its reverse (40322161365), we get a palindrome (5671934391765).

It can be divided in two parts, 56316 and 12230400, that multiplied together give a square (688767206400 = 829920²).

The spelling of 5631612230400 in words is "five trillion, six hundred thirty-one billion, six hundred twelve million, two hundred thirty thousand, four hundred".