35052120306432 has 216 divisors, whose sum is σ = 107106887433840. Its totient is φ = 11307133440000.

The previous prime is 35052120306419. The next prime is 35052120306487. The reversal of 35052120306432 is 23460302125053.

35052120306432 is a `hidden beast` number, since 3 + 5 + 0 + 5 + 2 + 1 + 2 + 0 + 3 + 0 + 643 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×35052120306432² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4003932 + ... + 9280932.

Almost surely, 2^{35052120306432} is an apocalyptic number.

35052120306432 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 35052120306432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53553443716920).

35052120306432 is an abundant number, since it is smaller than the sum of its proper divisors (72054767127408).

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

35052120306432 is an equidigital number, since it uses as much as digits as its factorization.

35052120306432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5277088 (or 5277037 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 35052120306432 in words is "thirty-five trillion, fifty-two billion, one hundred twenty million, three hundred six thousand, four hundred thirty-two".