86350389120 has 256 divisors, whose sum is σ = 306188251200. Its totient is φ = 22999375872.

The previous prime is 86350389029. The next prime is 86350389121. The reversal of 86350389120 is 2198305368.

It is a happy number.

86350389120 is a `hidden beast` number, since 8 + 63 + 503 + 89 + 1 + 2 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86350389121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17502174 + ... + 17507106.

Almost surely, 2^86350389120 is an apocalyptic number.

86350389120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86350389120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153094125600).

86350389120 is an abundant number, since it is smaller than the sum of its proper divisors (219837862080).

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

86350389120 is a wasteful number, since it uses less digits than its factorization.

86350389120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5974 (or 5956 counting only the distinct ones).

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

The spelling of 86350389120 in words is "eighty-six billion, three hundred fifty million, three hundred eighty-nine thousand, one hundred twenty".