86790090750 has 128 divisors (see below), whose sum is σ = 244471219200. Its totient is φ = 20314448000.

The previous prime is 86790090749. The next prime is 86790090791. The reversal of 86790090750 is 5709009768.

It is a junction number, because it is equal to n+sod(n) for n = 86790090693 and 86790090702.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57871 + ... + 420629.

It is an arithmetic number, because the mean of its divisors is an integer number (1909931400).

Almost surely, 2^86790090750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86790090750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122235609600).

86790090750 is an abundant number, since it is smaller than the sum of its proper divisors (157681128450).

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

86790090750 is a wasteful number, since it uses less digits than its factorization.

86790090750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362819 (or 362809 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 51.

The spelling of 86790090750 in words is "eighty-six billion, seven hundred ninety million, ninety thousand, seven hundred fifty".