5395852800 has 480 divisors, whose sum is σ = 21346654560. Its totient is φ = 1327104000.

The previous prime is 5395852753. The next prime is 5395852823. The reversal of 5395852800 is 82585935.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4492200 + ... + 4493400.

It is an arithmetic number, because the mean of its divisors is an integer number (44472197).

Almost surely, 2^5395852800 is an apocalyptic number.

5395852800 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 5395852800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10673327280).

5395852800 is an abundant number, since it is smaller than the sum of its proper divisors (15950801760).

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

5395852800 is a wasteful number, since it uses less digits than its factorization.

5395852800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1251 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The square root of 5395852800 is about 73456.4687416976. The cubic root of 5395852800 is about 1753.9613987770.

The spelling of 5395852800 in words is "five billion, three hundred ninety-five million, eight hundred fifty-two thousand, eight hundred".