5735534170240 has 768 divisors, whose sum is σ = 17197756185600. Its totient is φ = 1819307212800.

The previous prime is 5735534170231. The next prime is 5735534170273. The reversal of 5735534170240 is 420714355375.

It is a Harshad number since it is a multiple of its sum of digits (46).

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 95 ways as a sum of consecutive naturals, for example, 3017113290 + ... + 3017115190.

It is an arithmetic number, because the mean of its divisors is an integer number (22392911700).

Almost surely, 2^{5735534170240} 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 5735534170240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8598878092800).

5735534170240 is an abundant number, since it is smaller than the sum of its proper divisors (11462222015360).

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

5735534170240 is a wasteful number, since it uses less digits than its factorization.

5735534170240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2093 (or 2074 counting only the distinct ones).

The product of its (nonzero) digits is 1764000, while the sum is 46.

The spelling of 5735534170240 in words is "five trillion, seven hundred thirty-five billion, five hundred thirty-four million, one hundred seventy thousand, two hundred forty".