86414065920 has 1728 divisors, whose sum is σ = 395983171584. Its totient is φ = 17557585920.

The previous prime is 86414065901. The next prime is 86414065931. The reversal of 86414065920 is 2956041468.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×86414065920² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1217099485 + ... + 1217099555.

It is an arithmetic number, because the mean of its divisors is an integer number (229156928).

Almost surely, 2^86414065920 is an apocalyptic number.

86414065920 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 86414065920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197991585792).

86414065920 is an abundant number, since it is smaller than the sum of its proper divisors (309569105664).

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

86414065920 is a wasteful number, since it uses less digits than its factorization.

86414065920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 86414065920 in words is "eighty-six billion, four hundred fourteen million, sixty-five thousand, nine hundred twenty".