5156893000080 has 400 divisors, whose sum is σ = 18193367871360. Its totient is φ = 1353499766784.

The previous prime is 5156892999997. The next prime is 5156893000087. The reversal of 5156893000080 is 800003986515.

5156893000080 is a `hidden beast` number, since 5 + 1 + 568 + 9 + 3 + 0 + 0 + 0 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5156893000087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 593492376 + ... + 593501064.

Almost surely, 2^{5156893000080} 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 5156893000080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9096683935680).

5156893000080 is an abundant number, since it is smaller than the sum of its proper divisors (13036474871280).

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

5156893000080 is a wasteful number, since it uses less digits than its factorization.

5156893000080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10148 (or 10133 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

Adding to 5156893000080 its reverse (800003986515), we get a palindrome (5956896986595).

The spelling of 5156893000080 in words is "five trillion, one hundred fifty-six billion, eight hundred ninety-three million, eighty", and thus it is an aban number.