87486182166240 has 1440 divisors, whose sum is σ = 366137499442176. Its totient is φ = 19501476433920.

The previous prime is 87486182166203. The next prime is 87486182166247. The reversal of 87486182166240 is 4266128168478.

It is a happy number.

87486182166240 is a `hidden beast` number, since 8 + 7 + 4 + 8 + 618 + 2 + 1 + 6 + 6 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87486182166247) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 6336357417 + ... + 6336371223.

Almost surely, 2^{87486182166240} is an apocalyptic number.

87486182166240 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 87486182166240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183068749721088).

87486182166240 is an abundant number, since it is smaller than the sum of its proper divisors (278651317275936).

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

87486182166240 is a wasteful number, since it uses less digits than its factorization.

87486182166240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14134 (or 14104 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 63.

The spelling of 87486182166240 in words is "eighty-seven trillion, four hundred eighty-six billion, one hundred eighty-two million, one hundred sixty-six thousand, two hundred forty".