35205697428132 has 432 divisors, whose sum is σ = 107411020375680. Its totient is φ = 8784430617600.

The previous prime is 35205697428131. The next prime is 35205697428149. The reversal of 35205697428132 is 23182479650253.

It is a super-2 number, since 2×35205697428132² (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (35205697428131) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1338148594 + ... + 1338174902.

It is an arithmetic number, because the mean of its divisors is an integer number (248636621240).

It is a 3-persistent number, because k⋅35205697428132 is pandigital for 1 ≤ k ≤ 3, but not for k = 4.

Almost surely, 2^{35205697428132} 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 35205697428132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53705510187840).

35205697428132 is an abundant number, since it is smaller than the sum of its proper divisors (72205322947548).

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

35205697428132 is a wasteful number, since it uses less digits than its factorization.

35205697428132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26544 (or 26500 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 57.

The spelling of 35205697428132 in words is "thirty-five trillion, two hundred five billion, six hundred ninety-seven million, four hundred twenty-eight thousand, one hundred thirty-two".