5387558400 has 960 divisors, whose sum is σ = 24112028160. Its totient is φ = 1150156800.

The previous prime is 5387558389. The next prime is 5387558411. The reversal of 5387558400 is 48557835.

5387558400 is a `hidden beast` number, since 53 + 8 + 7 + 558 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5387558389) and next prime (5387558411).

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41126335 + ... + 41126465.

It is an arithmetic number, because the mean of its divisors is an integer number (25116696).

Almost surely, 2^5387558400 is an apocalyptic number.

5387558400 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 5387558400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12056014080).

5387558400 is an abundant number, since it is smaller than the sum of its proper divisors (18724469760).

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

5387558400 is a wasteful number, since it uses less digits than its factorization.

5387558400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The square root of 5387558400 is about 73399.9891008166. The cubic root of 5387558400 is about 1753.0622194339.

The spelling of 5387558400 in words is "five billion, three hundred eighty-seven million, five hundred fifty-eight thousand, four hundred".