87321262464 has 256 divisors, whose sum is σ = 267869952000. Its totient is φ = 27970209792.

The previous prime is 87321262453. The next prime is 87321262471. The reversal of 87321262464 is 46426212378.

It is a happy number.

87321262464 is a `hidden beast` number, since 8 + 7 + 3 + 2 + 12 + 624 + 6 + 4 = 666.

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 31 ways as a sum of consecutive naturals, for example, 22347999 + ... + 22351905.

It is an arithmetic number, because the mean of its divisors is an integer number (1046367000).

Almost surely, 2^87321262464 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 87321262464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133934976000).

87321262464 is an abundant number, since it is smaller than the sum of its proper divisors (180548689536).

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

87321262464 is a wasteful number, since it uses less digits than its factorization.

87321262464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4182 (or 4164 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The spelling of 87321262464 in words is "eighty-seven billion, three hundred twenty-one million, two hundred sixty-two thousand, four hundred sixty-four".