5035398575760 has 960 divisors, whose sum is σ = 20091514060800. Its totient is φ = 1129504158720.

The previous prime is 5035398575693. The next prime is 5035398575819. The reversal of 5035398575760 is 675758935305.

It is a happy number.

5035398575760 is a `hidden beast` number, since 5 + 0 + 3 + 5 + 3 + 9 + 8 + 57 + 576 + 0 = 666.

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

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 3423111825 + ... + 3423113295.

It is an arithmetic number, because the mean of its divisors is an integer number (20928660480).

Almost surely, 2^{5035398575760} 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 5035398575760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10045757030400).

5035398575760 is an abundant number, since it is smaller than the sum of its proper divisors (15056115485040).

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

5035398575760 is a wasteful number, since it uses less digits than its factorization.

5035398575760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1761 (or 1738 counting only the distinct ones).

The product of its (nonzero) digits is 119070000, while the sum is 63.

The spelling of 5035398575760 in words is "five trillion, thirty-five billion, three hundred ninety-eight million, five hundred seventy-five thousand, seven hundred sixty".