35255869608960 has 4224 divisors, whose sum is σ = 181386597127680. Its totient is φ = 6361605734400.

The previous prime is 35255869608931. The next prime is 35255869608991. The reversal of 35255869608960 is 6980696855253.

35255869608960 is a `hidden beast` number, since 3 + 5 + 2 + 5 + 5 + 8 + 6 + 9 + 608 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4224).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 16467009490 + ... + 16467011630.

Almost surely, 2^{35255869608960} is an apocalyptic number.

35255869608960 is a gapful number since it is divisible by the number (30) 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 35255869608960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90693298563840).

35255869608960 is an abundant number, since it is smaller than the sum of its proper divisors (146130727518720).

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

35255869608960 is a wasteful number, since it uses less digits than its factorization.

35255869608960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2230 (or 2199 counting only the distinct ones).

The product of its (nonzero) digits is 839808000, while the sum is 72.

The spelling of 35255869608960 in words is "thirty-five trillion, two hundred fifty-five billion, eight hundred sixty-nine million, six hundred eight thousand, nine hundred sixty".