5295540018400 has 144 divisors (see below), whose sum is σ = 13279143674160. Its totient is φ = 2060655206400.

The previous prime is 5295540018383. The next prime is 5295540018443. The reversal of 5295540018400 is 48100455925.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 340125816 + ... + 340141384.

It is an arithmetic number, because the mean of its divisors is an integer number (92216275515).

Almost surely, 2^{5295540018400} is an apocalyptic number.

5295540018400 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 5295540018400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6639571837080).

5295540018400 is an abundant number, since it is smaller than the sum of its proper divisors (7983603655760).

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

5295540018400 is a wasteful number, since it uses less digits than its factorization.

5295540018400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27117 (or 27104 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 43.

The spelling of 5295540018400 in words is "five trillion, two hundred ninety-five billion, five hundred forty million, eighteen thousand, four hundred".