538214400000 has 684 divisors, whose sum is σ = 1970046151164. Its totient is φ = 141557760000.

The previous prime is 538214399963. The next prime is 538214400029. The reversal of 538214400000 is 4412835.

It can be written as a sum of positive squares in 6 ways, for example, as 430168080384 + 108046319616 = 655872^2 + 328704^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7372799964 + ... + 7372800036.

Almost surely, 2^538214400000 is an apocalyptic number.

538214400000 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 538214400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (985023075582).

538214400000 is an abundant number, since it is smaller than the sum of its proper divisors (1431831751164).

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

538214400000 is an frugal number, since it uses more digits than its factorization.

538214400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 538214400000 its reverse (4412835), we get a palindrome (538218812835).

The spelling of 538214400000 in words is "five hundred thirty-eight billion, two hundred fourteen million, four hundred thousand".