5408256688128 has 1200 divisors, whose sum is σ = 19786811576400. Its totient is φ = 1464952946688.

The previous prime is 5408256688097. The next prime is 5408256688129. The reversal of 5408256688128 is 8218866528045.

5408256688128 is a `hidden beast` number, since 5 + 40 + 8 + 2 + 566 + 8 + 8 + 1 + 28 = 666.

It is a super-2 number, since 2×5408256688128² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5408256688129) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 47860678600 + ... + 47860678712.

It is an arithmetic number, because the mean of its divisors is an integer number (16489009647).

Almost surely, 2^{5408256688128} 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 5408256688128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9893405788200).

5408256688128 is an abundant number, since it is smaller than the sum of its proper divisors (14378554888272).

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

5408256688128 is an frugal number, since it uses more digits than its factorization.

5408256688128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 58982400, while the sum is 63.

The spelling of 5408256688128 in words is "five trillion, four hundred eight billion, two hundred fifty-six million, six hundred eighty-eight thousand, one hundred twenty-eight".