5395960800 has 432 divisors, whose sum is σ = 20243360592. Its totient is φ = 1401753600.

The previous prime is 5395960799. The next prime is 5395960813. The reversal of 5395960800 is 80695935.

5395960800 is a `hidden beast` number, since 5 + 39 + 5 + 9 + 608 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7970062 + ... + 7970738.

It is an arithmetic number, because the mean of its divisors is an integer number (46859631).

Almost surely, 2^5395960800 is an apocalyptic number.

5395960800 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 5395960800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10121680296).

5395960800 is an abundant number, since it is smaller than the sum of its proper divisors (14847399792).

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

5395960800 is a wasteful number, since it uses less digits than its factorization.

5395960800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 5395960800 is about 73457.2038672859. The cubic root of 5395960800 is about 1753.9731007621.

The spelling of 5395960800 in words is "five billion, three hundred ninety-five million, nine hundred sixty thousand, eight hundred".