5430214756512 has 576 divisors, whose sum is σ = 20345546317824. Its totient is φ = 1385940741120.

The previous prime is 5430214756493. The next prime is 5430214756513. The reversal of 5430214756512 is 2156574120345.

5430214756512 is a `hidden beast` number, since 5 + 4 + 30 + 2 + 1 + 47 + 565 + 12 = 666.

It is a super-2 number, since 2×5430214756512² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5430214756513) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21812323 + ... + 22059869.

It is an arithmetic number, because the mean of its divisors is an integer number (35322129024).

Almost surely, 2^{5430214756512} is an apocalyptic number.

5430214756512 is a gapful number since it is divisible by the number (52) 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 5430214756512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10172773158912).

5430214756512 is an abundant number, since it is smaller than the sum of its proper divisors (14915331561312).

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

5430214756512 is a wasteful number, since it uses less digits than its factorization.

5430214756512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247623 (or 247603 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

Adding to 5430214756512 its reverse (2156574120345), we get a palindrome (7586788876857).

The spelling of 5430214756512 in words is "five trillion, four hundred thirty billion, two hundred fourteen million, seven hundred fifty-six thousand, five hundred twelve".