5390816146560 has 1280 divisors, whose sum is σ = 21726003720960. Its totient is φ = 1263878111232.

The previous prime is 5390816146531. The next prime is 5390816146603. The reversal of 5390816146560 is 656416180935.

5390816146560 is a `hidden beast` number, since 5 + 39 + 0 + 8 + 1 + 6 + 1 + 46 + 560 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5390816146497 and 5390816146506.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4541546287 + ... + 4541547473.

It is an arithmetic number, because the mean of its divisors is an integer number (16973440407).

Almost surely, 2^{5390816146560} 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 5390816146560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10863001860480).

5390816146560 is an abundant number, since it is smaller than the sum of its proper divisors (16335187574400).

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

5390816146560 is a wasteful number, since it uses less digits than its factorization.

5390816146560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1547 (or 1526 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 5390816146560 in words is "five trillion, three hundred ninety billion, eight hundred sixteen million, one hundred forty-six thousand, five hundred sixty".