5313370400000 has 864 divisors, whose sum is σ = 15505973241696. Its totient is φ = 1798963200000.

The previous prime is 5313370399999. The next prime is 5313370400029. The reversal of 5313370400000 is 40733135.

It can be written as a sum of positive squares in 48 ways, for example, as 2800562086144 + 2512808313856 = 1673488^2 + 1585184^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

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 95 ways as a sum of consecutive naturals, for example, 7248799634 + ... + 7248800366.

It is an arithmetic number, because the mean of its divisors is an integer number (17946728289).

Almost surely, 2^{5313370400000} is an apocalyptic number.

5313370400000 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 5313370400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7752986620848).

5313370400000 is an abundant number, since it is smaller than the sum of its proper divisors (10192602841696).

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

5313370400000 is an equidigital number, since it uses as much as digits as its factorization.

5313370400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 26.

The spelling of 5313370400000 in words is "five trillion, three hundred thirteen billion, three hundred seventy million, four hundred thousand".