86035793088 has 448 divisors, whose sum is σ = 280903680000. Its totient is φ = 23182967808.

The previous prime is 86035792933. The next prime is 86035793089. The reversal of 86035793088 is 88039753068.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×86035793088² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (86035793089) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 119659993 + ... + 119660711.

Almost surely, 2^86035793088 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 86035793088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140451840000).

86035793088 is an abundant number, since it is smaller than the sum of its proper divisors (194867886912).

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

86035793088 is a wasteful number, since it uses less digits than its factorization.

86035793088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 57.

The spelling of 86035793088 in words is "eighty-six billion, thirty-five million, seven hundred ninety-three thousand, eighty-eight".