87343904256 has 160 divisors (see below), whose sum is σ = 266269386240. Its totient is φ = 24923652096.

The previous prime is 87343904251. The next prime is 87343904273. The reversal of 87343904256 is 65240934378.

It is a super-2 number, since 2×87343904256² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 87343904199 and 87343904208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87343904251) 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 15 ways as a sum of consecutive naturals, for example, 9209725 + ... + 9219203.

It is an arithmetic number, because the mean of its divisors is an integer number (1664183664).

Almost surely, 2^87343904256 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 87343904256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133134693120).

87343904256 is an abundant number, since it is smaller than the sum of its proper divisors (178925481984).

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

87343904256 is an equidigital number, since it uses as much as digits as its factorization.

87343904256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10364 (or 10348 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 51.

The spelling of 87343904256 in words is "eighty-seven billion, three hundred forty-three million, nine hundred four thousand, two hundred fifty-six".