87807965483520 has 1280 divisors, whose sum is σ = 324978875020800. Its totient is φ = 22455449026560.

The previous prime is 87807965483503. The next prime is 87807965483527. The reversal of 87807965483520 is 2538456970878.

87807965483520 is a `hidden beast` number, since 8 + 7 + 8 + 0 + 7 + 96 + 5 + 4 + 8 + 3 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (87807965483527) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 86681110534 + ... + 86681111546.

It is an arithmetic number, because the mean of its divisors is an integer number (253889746110).

Almost surely, 2^{87807965483520} is an apocalyptic number.

87807965483520 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 87807965483520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162489437510400).

87807965483520 is an abundant number, since it is smaller than the sum of its proper divisors (237170909537280).

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

87807965483520 is a wasteful number, since it uses less digits than its factorization.

87807965483520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1578 (or 1556 counting only the distinct ones).

The product of its (nonzero) digits is 812851200, while the sum is 72.

The spelling of 87807965483520 in words is "eighty-seven trillion, eight hundred seven billion, nine hundred sixty-five million, four hundred eighty-three thousand, five hundred twenty".