35530985952 has 432 divisors, whose sum is σ = 128150436960. Its totient is φ = 9140060160.

The previous prime is 35530985939. The next prime is 35530985981. The reversal of 35530985952 is 25958903553.

35530985952 is a `hidden beast` number, since 3 + 5 + 530 + 9 + 8 + 59 + 52 = 666.

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 71 ways as a sum of consecutive naturals, for example, 27564124 + ... + 27565412.

It is an arithmetic number, because the mean of its divisors is an integer number (296644530).

Almost surely, 2^35530985952 is an apocalyptic number.

35530985952 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 35530985952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64075218480).

35530985952 is an abundant number, since it is smaller than the sum of its proper divisors (92619451008).

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

35530985952 is a wasteful number, since it uses less digits than its factorization.

35530985952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1447 (or 1425 counting only the distinct ones).

The product of its (nonzero) digits is 7290000, while the sum is 54.

The spelling of 35530985952 in words is "thirty-five billion, five hundred thirty million, nine hundred eighty-five thousand, nine hundred fifty-two".