5431826400 has 1728 divisors, whose sum is σ = 26930776320. Its totient is φ = 928972800.

The previous prime is 5431826399. The next prime is 5431826429. The reversal of 5431826400 is 46281345.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 285885591 + ... + 285885609.

It is an arithmetic number, because the mean of its divisors is an integer number (15584940).

Almost surely, 2^5431826400 is an apocalyptic number.

5431826400 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 5431826400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13465388160).

5431826400 is an abundant number, since it is smaller than the sum of its proper divisors (21498949920).

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

5431826400 is a wasteful number, since it uses less digits than its factorization.

5431826400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 5431826400 is about 73700.9253673249. The cubic root of 5431826400 is about 1757.8505958005.

The spelling of 5431826400 in words is "five billion, four hundred thirty-one million, eight hundred twenty-six thousand, four hundred".