5254286400 has 336 divisors, whose sum is σ = 20896966080. Its totient is φ = 1273651200.

The previous prime is 5254286393. The next prime is 5254286419. The reversal of 5254286400 is 46824525.

It is a happy number.

5254286400 is a `hidden beast` number, since 5 + 2 + 5 + 4 + 2 + 8 + 640 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 469672 + ... + 480728.

Almost surely, 2^5254286400 is an apocalyptic number.

5254286400 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 5254286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10448483040).

5254286400 is an abundant number, since it is smaller than the sum of its proper divisors (15642679680).

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

5254286400 is a wasteful number, since it uses less digits than its factorization.

5254286400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11099 (or 11078 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 5254286400 is about 72486.4566660559. The cubic root of 5254286400 is about 1738.4861982361.

The spelling of 5254286400 in words is "five billion, two hundred fifty-four million, two hundred eighty-six thousand, four hundred".