87360890093505 has 48 divisors (see below), whose sum is σ = 176739843331584. Its totient is φ = 39086696108160.

The previous prime is 87360890093483. The next prime is 87360890093537. The reversal of 87360890093505 is 50539009806378.

87360890093505 is a `hidden beast` number, since 8 + 7 + 36 + 0 + 8 + 9 + 0 + 0 + 93 + 505 = 666.

It is not a de Polignac number, because 87360890093505 - 2¹⁷ = 87360889962433 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 2950369866 + ... + 2950399475.

It is an arithmetic number, because the mean of its divisors is an integer number (3682080069408).

Almost surely, 2^{87360890093505} is an apocalyptic number.

It is an amenable number.

87360890093505 is an abundant number, since it is smaller than the sum of its proper divisors (89378953238079).

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

87360890093505 is a wasteful number, since it uses less digits than its factorization.

87360890093505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5900769406 (or 5900769403 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 87360890093505 in words is "eighty-seven trillion, three hundred sixty billion, eight hundred ninety million, ninety-three thousand, five hundred five".