86286228480 has 528 divisors, whose sum is σ = 312444647424. Its totient is φ = 22832824320.

The previous prime is 86286228461. The next prime is 86286228499. The reversal of 86286228480 is 8482268268.

It is a happy number.

86286228480 is a `hidden beast` number, since 8 + 6 + 2 + 8 + 622 + 8 + 4 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (86286228461) and next prime (86286228499).

It is a super-2 number, since 2×86286228480² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 277447525 + ... + 277447835.

Almost surely, 2^86286228480 is an apocalyptic number.

86286228480 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 86286228480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156222323712).

86286228480 is an abundant number, since it is smaller than the sum of its proper divisors (226158418944).

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

86286228480 is a wasteful number, since it uses less digits than its factorization.

86286228480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 54.

The spelling of 86286228480 in words is "eighty-six billion, two hundred eighty-six million, two hundred twenty-eight thousand, four hundred eighty".