35130664102032 has 120 divisors (see below), whose sum is σ = 99100140310080. Its totient is φ = 11617227667200.

The previous prime is 35130664102019. The next prime is 35130664102033. The reversal of 35130664102032 is 23020146603153.

35130664102032 is a `hidden beast` number, since 3 + 5 + 1 + 3 + 0 + 6 + 641 + 0 + 2 + 0 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (35130664102033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10805407 + ... + 13675457.

It is an arithmetic number, because the mean of its divisors is an integer number (825834502584).

Almost surely, 2^{35130664102032} 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 35130664102032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49550070155040).

35130664102032 is an abundant number, since it is smaller than the sum of its proper divisors (63969476208048).

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

35130664102032 is a wasteful number, since it uses less digits than its factorization.

35130664102032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2870741 (or 2870732 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 35130664102032 in words is "thirty-five trillion, one hundred thirty billion, six hundred sixty-four million, one hundred two thousand, thirty-two".