35485954253568 has 1728 divisors, whose sum is σ = 136837198848000. Its totient is φ = 9053861806080.

The previous prime is 35485954253557. The next prime is 35485954253573. The reversal of 35485954253568 is 86535245958453.

35485954253568 is a `hidden beast` number, since 3 + 5 + 4 + 8 + 5 + 9 + 5 + 4 + 2 + 53 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a junction number, because it is equal to n+sod(n) for n = 35485954253496 and 35485954253505.

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 191 ways as a sum of consecutive naturals, for example, 12420703596 + ... + 12420706452.

Almost surely, 2^{35485954253568} 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 35485954253568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68418599424000).

35485954253568 is an abundant number, since it is smaller than the sum of its proper divisors (101351244594432).

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

35485954253568 is a wasteful number, since it uses less digits than its factorization.

35485954253568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2960 (or 2913 counting only the distinct ones).

The product of its digits is 3110400000, while the sum is 72.

The spelling of 35485954253568 in words is "thirty-five trillion, four hundred eighty-five billion, nine hundred fifty-four million, two hundred fifty-three thousand, five hundred sixty-eight".