5159319088896 has 324 divisors, whose sum is σ = 17310030465000. Its totient is φ = 1473599361024.

The previous prime is 5159319088843. The next prime is 5159319088897. The reversal of 5159319088896 is 6988809139515.

5159319088896 is a `hidden beast` number, since 5 + 159 + 319 + 0 + 88 + 89 + 6 = 666.

It is a super-2 number, since 2×5159319088896² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5159319088897) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 462755130 + ... + 462766278.

Almost surely, 2^{5159319088896} is an apocalyptic number.

5159319088896 is a gapful number since it is divisible by the number (56) 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 5159319088896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8655015232500).

5159319088896 is an abundant number, since it is smaller than the sum of its proper divisors (12150711376104).

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

5159319088896 is a wasteful number, since it uses less digits than its factorization.

5159319088896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15284 (or 15260 counting only the distinct ones).

The product of its (nonzero) digits is 167961600, while the sum is 72.

The spelling of 5159319088896 in words is "five trillion, one hundred fifty-nine billion, three hundred nineteen million, eighty-eight thousand, eight hundred ninety-six".