35545023725568 has 480 divisors, whose sum is σ = 110824088137728. Its totient is φ = 9922137292800.

The previous prime is 35545023725557. The next prime is 35545023725569. The reversal of 35545023725568 is 86552732054553.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35545023725569) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11174164938 + ... + 11174168118.

Almost surely, 2^{35545023725568} 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 35545023725568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55412044068864).

35545023725568 is an abundant number, since it is smaller than the sum of its proper divisors (75279064412160).

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

35545023725568 is an equidigital number, since it uses as much as digits as its factorization.

35545023725568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3957 (or 3931 counting only the distinct ones).

The product of its (nonzero) digits is 151200000, while the sum is 60.

The spelling of 35545023725568 in words is "thirty-five trillion, five hundred forty-five billion, twenty-three million, seven hundred twenty-five thousand, five hundred sixty-eight".