5389298132400 has 2880 divisors, whose sum is σ = 25133501352960. Its totient is φ = 1037441433600.

The previous prime is 5389298132389. The next prime is 5389298132467. The reversal of 5389298132400 is 42318929835.

5389298132400 is a `hidden beast` number, since 5 + 3 + 89 + 29 + 8 + 132 + 400 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 41139680335 + ... + 41139680465.

It is an arithmetic number, because the mean of its divisors is an integer number (8726910192).

Almost surely, 2^{5389298132400} is an apocalyptic number.

5389298132400 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 5389298132400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12566750676480).

5389298132400 is an abundant number, since it is smaller than the sum of its proper divisors (19744203220560).

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

5389298132400 is a wasteful number, since it uses less digits than its factorization.

5389298132400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 5389298132400 in words is "five trillion, three hundred eighty-nine billion, two hundred ninety-eight million, one hundred thirty-two thousand, four hundred".