5277148800 has 768 divisors, whose sum is σ = 22220006400. Its totient is φ = 1077964800.

The previous prime is 5277148771. The next prime is 5277148801. The reversal of 5277148800 is 88417725.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5277148801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 89443171 + ... + 89443229.

It is an arithmetic number, because the mean of its divisors is an integer number (28932300).

Almost surely, 2^5277148800 is an apocalyptic number.

5277148800 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 5277148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11110003200).

5277148800 is an abundant number, since it is smaller than the sum of its proper divisors (16942857600).

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

5277148800 is a wasteful number, since it uses less digits than its factorization.

5277148800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 42.

The square root of 5277148800 is about 72643.9866747414. The cubic root of 5277148800 is about 1741.0040446422.

The spelling of 5277148800 in words is "five billion, two hundred seventy-seven million, one hundred forty-eight thousand, eight hundred".