87116749020 has 288 divisors, whose sum is σ = 326809986048. Its totient is φ = 19046472192.

The previous prime is 87116749009. The next prime is 87116749021. The reversal of 87116749020 is 2094761178.

It is a happy number.

87116749020 is a `hidden beast` number, since 87 + 1 + 1 + 67 + 490 + 20 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87116749021) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 726792 + ... + 838128.

It is an arithmetic number, because the mean of its divisors is an integer number (1134756896).

Almost surely, 2^87116749020 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 87116749020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163404993024).

87116749020 is an abundant number, since it is smaller than the sum of its proper divisors (239693237028).

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

87116749020 is a wasteful number, since it uses less digits than its factorization.

87116749020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111391 (or 111377 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 87116749020 in words is "eighty-seven billion, one hundred sixteen million, seven hundred forty-nine thousand, twenty".