35261485056 has 546 divisors, whose sum is σ = 123494412822. Its totient is φ = 10032906240.

The previous prime is 35261485013. The next prime is 35261485079. The reversal of 35261485056 is 65058416253.

It can be written as a sum of positive squares in only one way, i.e., 32920473600 + 2341011456 = 181440^2 + 48384^2 .

It is a super-2 number, since 2×35261485056² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 146313096 + ... + 146313336.

Almost surely, 2^35261485056 is an apocalyptic number.

35261485056 is a gapful number since it is divisible by the number (36) 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 35261485056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61747206411).

35261485056 is an abundant number, since it is smaller than the sum of its proper divisors (88232927766).

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

35261485056 is an frugal number, since it uses more digits than its factorization.

35261485056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 35261485056 in words is "thirty-five billion, two hundred sixty-one million, four hundred eighty-five thousand, fifty-six".