35689120896 has 512 divisors, whose sum is σ = 118992384000. Its totient is φ = 9316270080.

The previous prime is 35689120871. The next prime is 35689120903. The reversal of 35689120896 is 69802198653.

It is a super-3 number, since 3×35689120896³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82422696 + ... + 82423128.

It is an arithmetic number, because the mean of its divisors is an integer number (232407000).

Almost surely, 2^35689120896 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 35689120896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59496192000).

35689120896 is an abundant number, since it is smaller than the sum of its proper divisors (83303263104).

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

35689120896 is a wasteful number, since it uses less digits than its factorization.

35689120896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 57.

The spelling of 35689120896 in words is "thirty-five billion, six hundred eighty-nine million, one hundred twenty thousand, eight hundred ninety-six".