35485807104 has 640 divisors, whose sum is σ = 120473717760. Its totient is φ = 10346434560.

The previous prime is 35485807087. The next prime is 35485807141. The reversal of 35485807104 is 40170858453.

35485807104 is a `hidden beast` number, since 3 + 54 + 8 + 580 + 7 + 10 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 35485807104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 529638879 + ... + 529638945.

It is an arithmetic number, because the mean of its divisors is an integer number (188240184).

Almost surely, 2^35485807104 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 35485807104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60236858880).

35485807104 is an abundant number, since it is smaller than the sum of its proper divisors (84987910656).

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

35485807104 is an frugal number, since it uses more digits than its factorization.

35485807104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 35485807104 in words is "thirty-five billion, four hundred eighty-five million, eight hundred seven thousand, one hundred four".