87319904256 has 456 divisors, whose sum is σ = 283995782160. Its totient is φ = 26499612672.

The previous prime is 87319904209. The next prime is 87319904261. The reversal of 87319904256 is 65240991378.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1196163036 + ... + 1196163108.

It is a 2-persistent number, because it is pandigital, and so is 2⋅87319904256 = 174639808512, but 3⋅87319904256 = 261959712768 is not.

Almost surely, 2^87319904256 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 87319904256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141997891080).

87319904256 is an abundant number, since it is smaller than the sum of its proper divisors (196675877904).

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

87319904256 is an frugal number, since it uses more digits than its factorization.

87319904256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 87319904256 in words is "eighty-seven billion, three hundred nineteen million, nine hundred four thousand, two hundred fifty-six".