5312126400 has 672 divisors, whose sum is σ = 21497909760. Its totient is φ = 1121402880.

The previous prime is 5312126383. The next prime is 5312126431. The reversal of 5312126400 is 46212135.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33835122 + ... + 33835278.

Almost surely, 2^5312126400 is an apocalyptic number.

5312126400 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 5312126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10748954880).

5312126400 is an abundant number, since it is smaller than the sum of its proper divisors (16185783360).

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

5312126400 is a wasteful number, since it uses less digits than its factorization.

5312126400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 5312126400 is about 72884.3357656499. The cubic root of 5312126400 is about 1744.8421079735.

Adding to 5312126400 its reverse (46212135), we get a palindrome (5358338535).

The spelling of 5312126400 in words is "five billion, three hundred twelve million, one hundred twenty-six thousand, four hundred".