35688093056 has 128 divisors (see below), whose sum is σ = 89521009920. Its totient is φ = 13766400000.

The previous prime is 35688093041. The next prime is 35688093061. The reversal of 35688093056 is 65039088653.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×35688093056³ (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 35688092989 and 35688093007.

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, 977531 + ... + 1013381.

It is an arithmetic number, because the mean of its divisors is an integer number (699382890).

Almost surely, 2^35688093056 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 35688093056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44760504960).

35688093056 is an abundant number, since it is smaller than the sum of its proper divisors (53832916864).

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

35688093056 is a wasteful number, since it uses less digits than its factorization.

35688093056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35984 (or 35972 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 53.

The spelling of 35688093056 in words is "thirty-five billion, six hundred eighty-eight million, ninety-three thousand, fifty-six".