87891441120 has 360 divisors, whose sum is σ = 360828362664. Its totient is φ = 20089327104.

The previous prime is 87891441103. The next prime is 87891441139. The reversal of 87891441120 is 2114419878.

87891441120 is a `hidden beast` number, since 8 + 7 + 89 + 1 + 441 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 565839 + ... + 704241.

Almost surely, 2^87891441120 is an apocalyptic number.

87891441120 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 87891441120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180414181332).

87891441120 is an abundant number, since it is smaller than the sum of its proper divisors (272936921544).

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

87891441120 is a wasteful number, since it uses less digits than its factorization.

87891441120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138444 (or 138420 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 87891441120 in words is "eighty-seven billion, eight hundred ninety-one million, four hundred forty-one thousand, one hundred twenty".