87692520960 has 480 divisors, whose sum is σ = 348769998720. Its totient is φ = 20138803200.

The previous prime is 87692520917. The next prime is 87692520961. The reversal of 87692520960 is 6902529678.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 87692520897 and 87692520906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87692520961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4806255 + ... + 4824465.

It is an arithmetic number, because the mean of its divisors is an integer number (726604164).

Almost surely, 2^87692520960 is an apocalyptic number.

87692520960 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 87692520960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174384999360).

87692520960 is an abundant number, since it is smaller than the sum of its proper divisors (261077477760).

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

87692520960 is a wasteful number, since it uses less digits than its factorization.

87692520960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18270 (or 18251 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 87692520960 in words is "eighty-seven billion, six hundred ninety-two million, five hundred twenty thousand, nine hundred sixty".