87985241280 has 224 divisors, whose sum is σ = 310742868480. Its totient is φ = 23436241920.

The previous prime is 87985241263. The next prime is 87985241299. The reversal of 87985241280 is 8214258978.

87985241280 is a `hidden beast` number, since 8 + 7 + 98 + 524 + 1 + 28 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8349615 + ... + 8360145.

Almost surely, 2^87985241280 is an apocalyptic number.

87985241280 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 87985241280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155371434240).

87985241280 is an abundant number, since it is smaller than the sum of its proper divisors (222757627200).

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

87985241280 is a wasteful number, since it uses less digits than its factorization.

87985241280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11524 (or 11508 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 87985241280 in words is "eighty-seven billion, nine hundred eighty-five million, two hundred forty-one thousand, two hundred eighty".