5271782400 has 528 divisors, whose sum is σ = 20103177600. Its totient is φ = 1352171520.

The previous prime is 5271782393. The next prime is 5271782437. The reversal of 5271782400 is 42871725.

5271782400 is a `hidden beast` number, since 527 + 17 + 82 + 40 + 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, 20044669 + ... + 20044931.

It is an arithmetic number, because the mean of its divisors is an integer number (38074200).

Almost surely, 2^5271782400 is an apocalyptic number.

5271782400 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 5271782400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10051588800).

5271782400 is an abundant number, since it is smaller than the sum of its proper divisors (14831395200).

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

5271782400 is a wasteful number, since it uses less digits than its factorization.

5271782400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 5271782400 is about 72607.0409808856. The cubic root of 5271782400 is about 1740.4136947374.

The spelling of 5271782400 in words is "five billion, two hundred seventy-one million, seven hundred eighty-two thousand, four hundred".