5226854400 has 576 divisors, whose sum is σ = 20311200000. Its totient is φ = 1313832960.

The previous prime is 5226854359. The next prime is 5226854441. The reversal of 5226854400 is 44586225.

It is a happy number.

5226854400 is a `hidden beast` number, since 52 + 2 + 68 + 544 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5226854359) and next prime (5226854441).

It is a tau number, because it is divible by the number of its divisors (576).

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 47 ways as a sum of consecutive naturals, for example, 26265501 + ... + 26265699.

It is an arithmetic number, because the mean of its divisors is an integer number (35262500).

Almost surely, 2^5226854400 is an apocalyptic number.

5226854400 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 5226854400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10155600000).

5226854400 is an abundant number, since it is smaller than the sum of its proper divisors (15084345600).

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

5226854400 is a wasteful number, since it uses less digits than its factorization.

5226854400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 228 counting only the distinct ones).

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

The square root of 5226854400 is about 72296.9874891063. The cubic root of 5226854400 is about 1735.4554416196.

The spelling of 5226854400 in words is "five billion, two hundred twenty-six million, eight hundred fifty-four thousand, four hundred".