5281398158400 has 2016 divisors, whose sum is σ = 24189178960128. Its totient is φ = 1103619686400.

The previous prime is 5281398158381. The next prime is 5281398158411. The reversal of 5281398158400 is 48518931825.

5281398158400 is a `hidden beast` number, since 5 + 2 + 81 + 3 + 9 + 8 + 158 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×5281398158400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3998029740 + ... + 3998031060.

Almost surely, 2^{5281398158400} is an apocalyptic number.

5281398158400 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 5281398158400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12094589480064).

5281398158400 is an abundant number, since it is smaller than the sum of its proper divisors (18907780801728).

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

5281398158400 is a wasteful number, since it uses less digits than its factorization.

5281398158400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1491 (or 1464 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 5281398158400 in words is "five trillion, two hundred eighty-one billion, three hundred ninety-eight million, one hundred fifty-eight thousand, four hundred".