35759426560 has 528 divisors, whose sum is σ = 107687593440. Its totient is φ = 11297095680.

The previous prime is 35759426537. The next prime is 35759426623. The reversal of 35759426560 is 6562495753.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 35759426498 and 35759426507.

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 47 ways as a sum of consecutive naturals, for example, 2103495672 + ... + 2103495688.

Almost surely, 2^35759426560 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 35759426560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53843796720).

35759426560 is an abundant number, since it is smaller than the sum of its proper divisors (71928166880).

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

35759426560 is a wasteful number, since it uses less digits than its factorization.

35759426560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 52.

The spelling of 35759426560 in words is "thirty-five billion, seven hundred fifty-nine million, four hundred twenty-six thousand, five hundred sixty".