87079985280 has 512 divisors, whose sum is σ = 332609760000. Its totient is φ = 21459271680.

The previous prime is 87079985269. The next prime is 87079985297. The reversal of 87079985280 is 8258997078.

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 63 ways as a sum of consecutive naturals, for example, 13457886 + ... + 13464354.

Almost surely, 2^87079985280 is an apocalyptic number.

87079985280 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 87079985280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166304880000).

87079985280 is an abundant number, since it is smaller than the sum of its proper divisors (245529774720).

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

87079985280 is a wasteful number, since it uses less digits than its factorization.

87079985280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6557 (or 6539 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 63.

The spelling of 87079985280 in words is "eighty-seven billion, seventy-nine million, nine hundred eighty-five thousand, two hundred eighty".