35575670960 has 80 divisors (see below), whose sum is σ = 83844097920. Its totient is φ = 14036520960.

The previous prime is 35575670957. The next prime is 35575670987. The reversal of 35575670960 is 6907657553.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3062924 + ... + 3074516.

It is an arithmetic number, because the mean of its divisors is an integer number (1048051224).

Almost surely, 2^35575670960 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 35575670960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41922048960).

35575670960 is an abundant number, since it is smaller than the sum of its proper divisors (48268426960).

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

35575670960 is a wasteful number, since it uses less digits than its factorization.

35575670960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12126 (or 12120 counting only the distinct ones).

The product of its (nonzero) digits is 5953500, while the sum is 53.

The spelling of 35575670960 in words is "thirty-five billion, five hundred seventy-five million, six hundred seventy thousand, nine hundred sixty".