87580812432960 has 1008 divisors, whose sum is σ = 402400658687040. Its totient is φ = 17240782970880.

The previous prime is 87580812432959. The next prime is 87580812432961. The reversal of 87580812432960 is 6923421808578.

87580812432960 is a `hidden beast` number, since 8 + 7 + 580 + 8 + 1 + 2 + 43 + 2 + 9 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (87580812432959) and next prime (87580812432961).

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is not an unprimeable number, because it can be changed into a prime (87580812432961) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 28009362 + ... + 30978798.

It is a 1-persistent number, because it is pandigital, but 2⋅87580812432960 = 175161624865920 is not.

Almost surely, 2^{87580812432960} is an apocalyptic number.

87580812432960 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 87580812432960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201200329343520).

87580812432960 is an abundant number, since it is smaller than the sum of its proper divisors (314819846254080).

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

87580812432960 is a wasteful number, since it uses less digits than its factorization.

87580812432960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2969504 (or 2969484 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 87580812432960 in words is "eighty-seven trillion, five hundred eighty billion, eight hundred twelve million, four hundred thirty-two thousand, nine hundred sixty".