5631542400 has 384 divisors, whose sum is σ = 21432288960. Its totient is φ = 1284505600.

The previous prime is 5631542353. The next prime is 5631542419. The reversal of 5631542400 is 42451365.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1793632 + ... + 1796768.

Almost surely, 2^5631542400 is an apocalyptic number.

5631542400 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 5631542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10716144480).

5631542400 is an abundant number, since it is smaller than the sum of its proper divisors (15800746560).

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

5631542400 is a wasteful number, since it uses less digits than its factorization.

5631542400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3192 (or 3175 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 5631542400 is about 75043.6033250003. The cubic root of 5631542400 is about 1779.1358849151.

Adding to 5631542400 its reverse (42451365), we get a palindrome (5673993765).

The spelling of 5631542400 in words is "five billion, six hundred thirty-one million, five hundred forty-two thousand, four hundred".