5268614400 has 648 divisors, whose sum is σ = 21944220480. Its totient is φ = 1181122560.

The previous prime is 5268614387. The next prime is 5268614401. The reversal of 5268614400 is 44168625.

5268614400 is a `hidden beast` number, since 526 + 86 + 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 not an unprimeable number, because it can be changed into a prime (5268614401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29433511 + ... + 29433689.

Almost surely, 2^5268614400 is an apocalyptic number.

5268614400 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 5268614400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10972110240).

5268614400 is an abundant number, since it is smaller than the sum of its proper divisors (16675606080).

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

5268614400 is a wasteful number, since it uses less digits than its factorization.

5268614400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 5268614400 is about 72585.2216363634. The cubic root of 5268614400 is about 1740.0649995536.

The spelling of 5268614400 in words is "five billion, two hundred sixty-eight million, six hundred fourteen thousand, four hundred".