35221055502352 has 120 divisors (see below), whose sum is σ = 73131798683720. Its totient is φ = 16428638453760.

The previous prime is 35221055502331. The next prime is 35221055502433. The reversal of 35221055502352 is 25320555012253.

It can be written as a sum of positive squares in 12 ways, for example, as 318529299456 + 34902526202896 = 564384^2 + 5907836^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 296861602 + ... + 296980222.

Almost surely, 2^{35221055502352} 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 35221055502352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36565899341860).

35221055502352 is an abundant number, since it is smaller than the sum of its proper divisors (37910743181368).

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

35221055502352 is a wasteful number, since it uses less digits than its factorization.

35221055502352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119229 (or 119206 counting only the distinct ones).

The product of its (nonzero) digits is 450000, while the sum is 40.

The spelling of 35221055502352 in words is "thirty-five trillion, two hundred twenty-one billion, fifty-five million, five hundred two thousand, three hundred fifty-two".