86465059200 has 768 divisors, whose sum is σ = 355702233600. Its totient is φ = 20352245760.

The previous prime is 86465059199. The next prime is 86465059283. The reversal of 86465059200 is 295056468.

86465059200 is a `hidden beast` number, since 8 + 6 + 4 + 6 + 50 + 592 + 0 + 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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25831927 + ... + 25835273.

It is an arithmetic number, because the mean of its divisors is an integer number (463153950).

Almost surely, 2^86465059200 is an apocalyptic number.

86465059200 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 86465059200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177851116800).

86465059200 is an abundant number, since it is smaller than the sum of its proper divisors (269237174400).

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

86465059200 is a wasteful number, since it uses less digits than its factorization.

86465059200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3416 (or 3393 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 86465059200 in words is "eighty-six billion, four hundred sixty-five million, fifty-nine thousand, two hundred".