35035053768 has 384 divisors, whose sum is σ = 116380817280. Its totient is φ = 9734307840.

The previous prime is 35035053733. The next prime is 35035053797. The reversal of 35035053768 is 86735053053.

35035053768 is a `hidden beast` number, since 3 + 5 + 0 + 3 + 50 + 537 + 68 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53652130 + ... + 53652782.

It is an arithmetic number, because the mean of its divisors is an integer number (303075045).

Almost surely, 2^35035053768 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 35035053768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58190408640).

35035053768 is an abundant number, since it is smaller than the sum of its proper divisors (81345763512).

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

35035053768 is a wasteful number, since it uses less digits than its factorization.

35035053768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 45.

The spelling of 35035053768 in words is "thirty-five billion, thirty-five million, fifty-three thousand, seven hundred sixty-eight".