35265064525320 has 256 divisors, whose sum is σ = 121459924776960. Its totient is φ = 8023854938112.

The previous prime is 35265064525267. The next prime is 35265064525343. The reversal of 35265064525320 is 2352546056253.

It is a super-2 number, since 2×35265064525320² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 35265064525320.

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 63 ways as a sum of consecutive naturals, for example, 1988211492 + ... + 1988229228.

It is an arithmetic number, because the mean of its divisors is an integer number (474452831160).

Almost surely, 2^{35265064525320} is an apocalyptic number.

35265064525320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35265064525320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60729962388480).

35265064525320 is an abundant number, since it is smaller than the sum of its proper divisors (86194860251640).

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

35265064525320 is a wasteful number, since it uses less digits than its factorization.

35265064525320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28412 (or 28408 counting only the distinct ones).

The product of its (nonzero) digits is 6480000, while the sum is 48.

The spelling of 35265064525320 in words is "thirty-five trillion, two hundred sixty-five billion, sixty-four million, five hundred twenty-five thousand, three hundred twenty".