5213303154400 has 144 divisors (see below), whose sum is σ = 13892072600448. Its totient is φ = 1894640832000.

The previous prime is 5213303154391. The next prime is 5213303154401. The reversal of 5213303154400 is 44513033125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5213303154401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14990485 + ... + 15334315.

It is an arithmetic number, because the mean of its divisors is an integer number (96472726392).

Almost surely, 2^{5213303154400} is an apocalyptic number.

5213303154400 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 5213303154400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6946036300224).

5213303154400 is an abundant number, since it is smaller than the sum of its proper divisors (8678769446048).

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

5213303154400 is a wasteful number, since it uses less digits than its factorization.

5213303154400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345585 (or 345572 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

Adding to 5213303154400 its reverse (44513033125), we get a palindrome (5257816187525).

The spelling of 5213303154400 in words is "five trillion, two hundred thirteen billion, three hundred three million, one hundred fifty-four thousand, four hundred".