86887480181760 has 264 divisors, whose sum is σ = 301085384847936. Its totient is φ = 23168260915200.

The previous prime is 86887480181729. The next prime is 86887480181797. The reversal of 86887480181760 is 6718108478868.

86887480181760 is a `hidden beast` number, since 8 + 6 + 8 + 8 + 7 + 480 + 1 + 81 + 7 + 60 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 688694685 + ... + 688820835.

Almost surely, 2^{86887480181760} is an apocalyptic number.

86887480181760 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 86887480181760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150542692423968).

86887480181760 is an abundant number, since it is smaller than the sum of its proper divisors (214197904666176).

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

86887480181760 is a wasteful number, since it uses less digits than its factorization.

86887480181760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141129 (or 141108 counting only the distinct ones).

The product of its (nonzero) digits is 231211008, while the sum is 72.

The spelling of 86887480181760 in words is "eighty-six trillion, eight hundred eighty-seven billion, four hundred eighty million, one hundred eighty-one thousand, seven hundred sixty".