87816794112 has 312 divisors, whose sum is σ = 266476689024. Its totient is φ = 28892381184.

The previous prime is 87816794111. The next prime is 87816794113. The reversal of 87816794112 is 21149761878.

87816794112 is a `hidden beast` number, since 87 + 81 + 6 + 79 + 411 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (87816794111) and next prime (87816794113).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87816794111) 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 23 ways as a sum of consecutive naturals, for example, 82611693 + ... + 82612755.

It is an arithmetic number, because the mean of its divisors is an integer number (854091952).

Almost surely, 2^87816794112 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 87816794112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133238344512).

87816794112 is an abundant number, since it is smaller than the sum of its proper divisors (178659894912).

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

87816794112 is an equidigital number, since it uses as much as digits as its factorization.

87816794112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185 (or 1151 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 54.

It can be divided in two parts, 878167 and 94112, that added together give a palindrome (972279).

The spelling of 87816794112 in words is "eighty-seven billion, eight hundred sixteen million, seven hundred ninety-four thousand, one hundred twelve".