87765352704 has 108 divisors (see below), whose sum is σ = 256098491376. Its totient is φ = 28902583296.

The previous prime is 87765352667. The next prime is 87765352721. The reversal of 87765352704 is 40725356778.

It is a happy number.

87765352704 is a `hidden beast` number, since 87 + 7 + 6 + 535 + 27 + 0 + 4 = 666.

It is a super-2 number, since 2×87765352704² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38242 + ... + 420705.

Almost surely, 2^87765352704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87765352704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128049245688).

87765352704 is an abundant number, since it is smaller than the sum of its proper divisors (168333138672).

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

87765352704 is a wasteful number, since it uses less digits than its factorization.

87765352704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459052 (or 459035 counting only the distinct ones).

The product of its (nonzero) digits is 9878400, while the sum is 54.

The spelling of 87765352704 in words is "eighty-seven billion, seven hundred sixty-five million, three hundred fifty-two thousand, seven hundred four".