35975589060060 has 288 divisors, whose sum is σ = 124882469554752. Its totient is φ = 8304524697600.

The previous prime is 35975589060031. The next prime is 35975589060127. The reversal of 35975589060060 is 6006098557953.

It is a self number, because there is not a number n which added to its sum of digits gives 35975589060060.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9386635 + ... + 12651485.

It is an arithmetic number, because the mean of its divisors is an integer number (433619685954).

Almost surely, 2^{35975589060060} is an apocalyptic number.

35975589060060 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35975589060060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62441234777376).

35975589060060 is an abundant number, since it is smaller than the sum of its proper divisors (88906880494692).

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

35975589060060 is a wasteful number, since it uses less digits than its factorization.

35975589060060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3265173 (or 3265168 counting only the distinct ones).

The product of its (nonzero) digits is 61236000, while the sum is 63.

The spelling of 35975589060060 in words is "thirty-five trillion, nine hundred seventy-five billion, five hundred eighty-nine million, sixty thousand, sixty".