87891582240 has 720 divisors, whose sum is σ = 381871578816. Its totient is φ = 18255283200.

The previous prime is 87891582223. The next prime is 87891582257. The reversal of 87891582240 is 4228519878.

It is an interprime number because it is at equal distance from previous prime (87891582223) and next prime (87891582257).

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 38030685 + ... + 38032995.

Almost surely, 2^87891582240 is an apocalyptic number.

87891582240 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 87891582240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190935789408).

87891582240 is an abundant number, since it is smaller than the sum of its proper divisors (293979996576).

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

87891582240 is a wasteful number, since it uses less digits than its factorization.

87891582240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2371 (or 2339 counting only the distinct ones).

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

The spelling of 87891582240 in words is "eighty-seven billion, eight hundred ninety-one million, five hundred eighty-two thousand, two hundred forty".