87881594112 has 720 divisors, whose sum is σ = 303151951872. Its totient is φ = 25082265600.

The previous prime is 87881594111. The next prime is 87881594117. The reversal of 87881594112 is 21149518878.

87881594112 is a `hidden beast` number, since 8 + 78 + 8 + 159 + 411 + 2 = 666.

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

Its product of digits (1290240) is a multiple of the sum of its prime factors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87881594111) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 581997237 + ... + 581997387.

Almost surely, 2^87881594112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87881594112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151575975936).

87881594112 is an abundant number, since it is smaller than the sum of its proper divisors (215270357760).

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

87881594112 is a wasteful number, since it uses less digits than its factorization.

87881594112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 313 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 54.

The spelling of 87881594112 in words is "eighty-seven billion, eight hundred eighty-one million, five hundred ninety-four thousand, one hundred twelve".