735132085085760 has 224 divisors, whose sum is σ = 2335283625722112. Its totient is φ = 195931164549120.

The previous prime is 735132085085759. The next prime is 735132085085807. The reversal of 735132085085760 is 67580580231537.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 735132085085694 and 735132085085703.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17421408982 + ... + 17421451178.

Almost surely, 2^{735132085085760} 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 735132085085760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167641812861056).

735132085085760 is an abundant number, since it is smaller than the sum of its proper divisors (1600151540636352).

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

735132085085760 is a wasteful number, since it uses less digits than its factorization.

735132085085760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51421 (or 51411 counting only the distinct ones).

The product of its (nonzero) digits is 42336000, while the sum is 60.

The spelling of 735132085085760 in words is "seven hundred thirty-five trillion, one hundred thirty-two billion, eighty-five million, eighty-five thousand, seven hundred sixty".