35253705672 has 192 divisors, whose sum is σ = 101904691200. Its totient is φ = 10990287360.

The previous prime is 35253705659. The next prime is 35253705701. The reversal of 35253705672 is 27650735253.

35253705672 is a `hidden beast` number, since 3 + 52 + 5 + 37 + 0 + 567 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12964329 + ... + 12967047.

It is an arithmetic number, because the mean of its divisors is an integer number (530753600).

Almost surely, 2^35253705672 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 35253705672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50952345600).

35253705672 is an abundant number, since it is smaller than the sum of its proper divisors (66650985528).

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

35253705672 is a wasteful number, since it uses less digits than its factorization.

35253705672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2956 (or 2949 counting only the distinct ones).

The product of its (nonzero) digits is 1323000, while the sum is 45.

The spelling of 35253705672 in words is "thirty-five billion, two hundred fifty-three million, seven hundred five thousand, six hundred seventy-two".