5287550400 has 420 divisors, whose sum is σ = 21208304040. Its totient is φ = 1281484800.

The previous prime is 5287550383. The next prime is 5287550473. The reversal of 5287550400 is 40557825.

It is a happy number.

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 59 ways as a sum of consecutive naturals, for example, 1423746 + ... + 1427454.

It is an arithmetic number, because the mean of its divisors is an integer number (50495962).

Almost surely, 2^5287550400 is an apocalyptic number.

5287550400 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 5287550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10604152020).

5287550400 is an abundant number, since it is smaller than the sum of its proper divisors (15920753640).

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

5287550400 is a wasteful number, since it uses less digits than its factorization.

5287550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3754 (or 3730 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 5287550400 is about 72715.5444179578. The cubic root of 5287550400 is about 1742.1471709286.

The spelling of 5287550400 in words is "five billion, two hundred eighty-seven million, five hundred fifty thousand, four hundred".