35545856960 has 112 divisors (see below), whose sum is σ = 85313958912. Its totient is φ = 14106240000.

The previous prime is 35545856953. The next prime is 35545857013. The reversal of 35545856960 is 6965854553.

It is a junction number, because it is equal to n+sod(n) for n = 35545856896 and 35545856905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24978809 + ... + 24980231.

It is an arithmetic number, because the mean of its divisors is an integer number (761731776).

Almost surely, 2^35545856960 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 35545856960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42656979456).

35545856960 is an abundant number, since it is smaller than the sum of its proper divisors (49768101952).

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

35545856960 is a wasteful number, since it uses less digits than its factorization.

35545856960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2002 (or 1992 counting only the distinct ones).

The product of its (nonzero) digits is 19440000, while the sum is 56.

The spelling of 35545856960 in words is "thirty-five billion, five hundred forty-five million, eight hundred fifty-six thousand, nine hundred sixty".