735125086688 has 48 divisors (see below), whose sum is σ = 1474360619760. Its totient is φ = 360705908736.

The previous prime is 735125086681. The next prime is 735125086721. The reversal of 735125086688 is 886680521537.

It is a Harshad number since it is a multiple of its sum of digits (59).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (735125086681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 751970 + ... + 1426782.

It is an arithmetic number, because the mean of its divisors is an integer number (30715846245).

Almost surely, 2^735125086688 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 735125086688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737180309880).

735125086688 is an abundant number, since it is smaller than the sum of its proper divisors (739235533072).

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

735125086688 is a wasteful number, since it uses less digits than its factorization.

735125086688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675459 (or 675451 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 59.

The spelling of 735125086688 in words is "seven hundred thirty-five billion, one hundred twenty-five million, eighty-six thousand, six hundred eighty-eight".