5218399334400 has 1872 divisors, whose sum is σ = 21208651987968. Its totient is φ = 1127153664000.

The previous prime is 5218399334399. The next prime is 5218399334437. The reversal of 5218399334400 is 44339938125.

It is a super-2 number, since 2×5218399334400² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 24731750295 + ... + 24731750505.

Almost surely, 2^{5218399334400} is an apocalyptic number.

5218399334400 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 5218399334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10604325993984).

5218399334400 is an abundant number, since it is smaller than the sum of its proper divisors (15990252653568).

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

5218399334400 is a wasteful number, since it uses less digits than its factorization.

5218399334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 51.

The spelling of 5218399334400 in words is "five trillion, two hundred eighteen billion, three hundred ninety-nine million, three hundred thirty-four thousand, four hundred".