5258714400 has 504 divisors, whose sum is σ = 19672740864. Its totient is φ = 1371686400.

The previous prime is 5258714327. The next prime is 5258714437. The reversal of 5258714400 is 44178525.

5258714400 is a `hidden beast` number, since 525 + 87 + 14 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 41407137 + ... + 41407263.

It is an arithmetic number, because the mean of its divisors is an integer number (39033216).

Almost surely, 2^5258714400 is an apocalyptic number.

5258714400 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 5258714400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9836370432).

5258714400 is an abundant number, since it is smaller than the sum of its proper divisors (14414026464).

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

5258714400 is a wasteful number, since it uses less digits than its factorization.

5258714400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 5258714400 is about 72516.9938704025. The cubic root of 5258714400 is about 1738.9744253606.

The spelling of 5258714400 in words is "five billion, two hundred fifty-eight million, seven hundred fourteen thousand, four hundred".