86127302280960 has 864 divisors, whose sum is σ = 327374346237120. Its totient is φ = 21605168185344.

The previous prime is 86127302280947. The next prime is 86127302280973. The reversal of 86127302280960 is 6908220372168.

86127302280960 is a `hidden beast` number, since 8 + 6 + 1 + 273 + 0 + 2 + 280 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (86127302280947) and next prime (86127302280973).

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a junction number, because it is equal to n+sod(n) for n = 86127302280897 and 86127302280906.

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, 16333640884 + ... + 16333646156.

It is an arithmetic number, because the mean of its divisors is an integer number (378905493330).

Almost surely, 2^{86127302280960} is an apocalyptic number.

86127302280960 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 86127302280960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163687173118560).

86127302280960 is an abundant number, since it is smaller than the sum of its proper divisors (241247043956160).

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

86127302280960 is a wasteful number, since it uses less digits than its factorization.

86127302280960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8415 (or 8389 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 86127302280960 in words is "eighty-six trillion, one hundred twenty-seven billion, three hundred two million, two hundred eighty thousand, nine hundred sixty".