90686069760 has 1408 divisors, whose sum is σ = 374378941440. Its totient is φ = 18402508800.

The previous prime is 90686069753. The next prime is 90686069767. The reversal of 90686069760 is 6796068609.

It is an interprime number because it is at equal distance from previous prime (90686069753) and next prime (90686069767).

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 90686069760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90686069767) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1711057894 + ... + 1711057946.

Almost surely, 2^90686069760 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 90686069760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187189470720).

90686069760 is an abundant number, since it is smaller than the sum of its proper divisors (283692871680).

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

90686069760 is a wasteful number, since it uses less digits than its factorization.

90686069760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 57.

The spelling of 90686069760 in words is "ninety billion, six hundred eighty-six million, sixty-nine thousand, seven hundred sixty".