35253808128 has 792 divisors, whose sum is σ = 132801237504. Its totient is φ = 8902656000.

The previous prime is 35253808097. The next prime is 35253808133. The reversal of 35253808128 is 82180835253.

35253808128 is a `hidden beast` number, since 35 + 2 + 538 + 0 + 81 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 233468853 + ... + 233469003.

Almost surely, 2^35253808128 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 35253808128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66400618752).

35253808128 is an abundant number, since it is smaller than the sum of its proper divisors (97547429376).

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

35253808128 is a wasteful number, since it uses less digits than its factorization.

35253808128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 35253808128 in words is "thirty-five billion, two hundred fifty-three million, eight hundred eight thousand, one hundred twenty-eight".