5431306608000 has 5376 divisors, whose sum is σ = 27479764952640. Its totient is φ = 1053455155200.

The previous prime is 5431306607963. The next prime is 5431306608031. The reversal of 5431306608000 is 8066031345.

5431306608000 is a `hidden beast` number, since 5 + 43 + 1 + 3 + 0 + 6 + 608 + 0 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 671 ways as a sum of consecutive naturals, for example, 126309455979 + ... + 126309456021.

Almost surely, 2^{5431306608000} is an apocalyptic number.

5431306608000 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 5431306608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13739882476320).

5431306608000 is an abundant number, since it is smaller than the sum of its proper divisors (22048458344640).

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

5431306608000 is a wasteful number, since it uses less digits than its factorization.

5431306608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

It can be divided in two parts, 5431306 and 608000, that added together give a palindrome (6039306).

The spelling of 5431306608000 in words is "five trillion, four hundred thirty-one billion, three hundred six million, six hundred eight thousand".