86081332950 has 144 divisors (see below), whose sum is σ = 242065863936. Its totient is φ = 21889771200.

The previous prime is 86081332943. The next prime is 86081332951. The reversal of 86081332950 is 5923318068.

It is a happy number.

86081332950 is a `hidden beast` number, since 8 + 608 + 1 + 3 + 32 + 9 + 5 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 86081332896 and 86081332905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86081332951) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3413287 + ... + 3438413.

It is an arithmetic number, because the mean of its divisors is an integer number (1681012944).

Almost surely, 2^86081332950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86081332950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121032931968).

86081332950 is an abundant number, since it is smaller than the sum of its proper divisors (155984530986).

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

86081332950 is a wasteful number, since it uses less digits than its factorization.

86081332950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25499 (or 25491 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 86081332950 in words is "eighty-six billion, eighty-one million, three hundred thirty-two thousand, nine hundred fifty".