35575340212032 has 224 divisors, whose sum is σ = 101048659455744. Its totient is φ = 11006646681600.

The previous prime is 35575340212019. The next prime is 35575340212081. The reversal of 35575340212032 is 23021204357553.

It is a super-3 number, since 3×35575340212032³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80802732 + ... + 81241812.

It is an arithmetic number, because the mean of its divisors is an integer number (451110086856).

Almost surely, 2^{35575340212032} is an apocalyptic number.

35575340212032 is a gapful number since it is divisible by the number (32) 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 35575340212032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50524329727872).

35575340212032 is an abundant number, since it is smaller than the sum of its proper divisors (65473319243712).

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

35575340212032 is a wasteful number, since it uses less digits than its factorization.

35575340212032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439457 (or 439447 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 42.

Adding to 35575340212032 its reverse (23021204357553), we get a palindrome (58596544569585).

The spelling of 35575340212032 in words is "thirty-five trillion, five hundred seventy-five billion, three hundred forty million, two hundred twelve thousand, thirty-two".