35235364140640 has 96 divisors (see below), whose sum is σ = 83670904800000. Its totient is φ = 14021804256768.

The previous prime is 35235364140631. The next prime is 35235364140737. The reversal of 35235364140640 is 4604146353253.

35235364140640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×35235364140640² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 321497371 + ... + 321606949.

It is an arithmetic number, because the mean of its divisors is an integer number (871571925000).

Almost surely, 2^{35235364140640} 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 35235364140640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41835452400000).

35235364140640 is an abundant number, since it is smaller than the sum of its proper divisors (48435540659360).

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

35235364140640 is a wasteful number, since it uses less digits than its factorization.

35235364140640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119892 (or 119884 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 46.

The spelling of 35235364140640 in words is "thirty-five trillion, two hundred thirty-five billion, three hundred sixty-four million, one hundred forty thousand, six hundred forty".