5276210400 has 504 divisors, whose sum is σ = 19723971960. Its totient is φ = 1377285120.

The previous prime is 5276210393. The next prime is 5276210413. The reversal of 5276210400 is 40126725.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 48405546 + ... + 48405654.

It is an arithmetic number, because the mean of its divisors is an integer number (39134865).

Almost surely, 2^5276210400 is an apocalyptic number.

5276210400 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 5276210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9861985980).

5276210400 is an abundant number, since it is smaller than the sum of its proper divisors (14447761560).

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

5276210400 is a wasteful number, since it uses less digits than its factorization.

5276210400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 5276210400 is about 72637.5274909602. The cubic root of 5276210400 is about 1740.9008414981.

The spelling of 5276210400 in words is "five billion, two hundred seventy-six million, two hundred ten thousand, four hundred".