87506286720 has 64 divisors (see below), whose sum is σ = 278926295040. Its totient is φ = 23335009280.

The previous prime is 87506286701. The next prime is 87506286731. The reversal of 87506286720 is 2768260578.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22786176 + ... + 22790015.

It is an arithmetic number, because the mean of its divisors is an integer number (4358223360).

Almost surely, 2^87506286720 is an apocalyptic number.

87506286720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87506286720 is an abundant number, since it is smaller than the sum of its proper divisors (191420008320).

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

87506286720 is a wasteful number, since it uses less digits than its factorization.

87506286720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45576213 (or 45576201 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 51.

The spelling of 87506286720 in words is "eighty-seven billion, five hundred six million, two hundred eighty-six thousand, seven hundred twenty".