5431987132416 has 1344 divisors, whose sum is σ = 18867685505760. Its totient is φ = 1547934105600.

The previous prime is 5431987132387. The next prime is 5431987132417. The reversal of 5431987132416 is 6142317891345.

5431987132416 is a `hidden beast` number, since 5 + 4 + 3 + 1 + 98 + 7 + 132 + 416 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5431987132417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 33325074351 + ... + 33325074513.

Almost surely, 2^{5431987132416} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5431987132416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9433842752880).

5431987132416 is an abundant number, since it is smaller than the sum of its proper divisors (13435698373344).

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

5431987132416 is a wasteful number, since it uses less digits than its factorization.

5431987132416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 299 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 5431987132416 in words is "five trillion, four hundred thirty-one billion, nine hundred eighty-seven million, one hundred thirty-two thousand, four hundred sixteen".