87268974912 has 588 divisors, whose sum is σ = 307627385760. Its totient is φ = 24473498112.

The previous prime is 87268974827. The next prime is 87268974937. The reversal of 87268974912 is 21947986278.

87268974912 is a `hidden beast` number, since 87 + 2 + 68 + 9 + 7 + 491 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (588).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 87268974912.

It is a congruent number.

It is an unprimeable number.

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 83 ways as a sum of consecutive naturals, for example, 134882173 + ... + 134882819.

Almost surely, 2^87268974912 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 87268974912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153813692880).

87268974912 is an abundant number, since it is smaller than the sum of its proper divisors (220358410848).

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

87268974912 is an equidigital number, since it uses as much as digits as its factorization.

87268974912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 718 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 63.

The spelling of 87268974912 in words is "eighty-seven billion, two hundred sixty-eight million, nine hundred seventy-four thousand, nine hundred twelve".