87601795230880 has 384 divisors, whose sum is σ = 244882125186048. Its totient is φ = 28995498934272.

The previous prime is 87601795230869. The next prime is 87601795230931. The reversal of 87601795230880 is 8803259710678.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 996076189 + ... + 996164131.

It is an arithmetic number, because the mean of its divisors is an integer number (637713867672).

Almost surely, 2^{87601795230880} is an apocalyptic number.

87601795230880 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 87601795230880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122441062593024).

87601795230880 is an abundant number, since it is smaller than the sum of its proper divisors (157280329955168).

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

87601795230880 is a wasteful number, since it uses less digits than its factorization.

87601795230880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88288 (or 88280 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 64.

The spelling of 87601795230880 in words is "eighty-seven trillion, six hundred one billion, seven hundred ninety-five million, two hundred thirty thousand, eight hundred eighty".