86284656000 has 1024 divisors, whose sum is σ = 348281856000. Its totient is φ = 20901888000.

The previous prime is 86284655993. The next prime is 86284656049. The reversal of 86284656000 is 65648268.

86284656000 is a `hidden beast` number, since 8 + 6 + 2 + 84 + 6 + 560 + 0 + 0 = 666.

It is a super-2 number, since 2×86284656000² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 227663811 + ... + 227664189.

It is an arithmetic number, because the mean of its divisors is an integer number (340119000).

Almost surely, 2^86284656000 is an apocalyptic number.

86284656000 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 86284656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174140928000).

86284656000 is an abundant number, since it is smaller than the sum of its proper divisors (261997200000).

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

86284656000 is a wasteful number, since it uses less digits than its factorization.

86284656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 86284656000 in words is "eighty-six billion, two hundred eighty-four million, six hundred fifty-six thousand".