87819265179648 has 340 divisors, whose sum is σ = 269463332460960. Its totient is φ = 28481860141056.

The previous prime is 87819265179643. The next prime is 87819265179649. The reversal of 87819265179648 is 84697156291878.

87819265179648 is a `hidden beast` number, since 8 + 7 + 8 + 1 + 9 + 2 + 6 + 517 + 96 + 4 + 8 = 666.

87819265179648 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (87819265179643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 196187833 + ... + 196634951.

Almost surely, 2^{87819265179648} 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 87819265179648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134731666230480).

87819265179648 is an abundant number, since it is smaller than the sum of its proper divisors (181644067281312).

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

87819265179648 is an frugal number, since it uses more digits than its factorization.

87819265179648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447200 (or 447161 counting only the distinct ones).

The product of its digits is 2926264320, while the sum is 81.

The spelling of 87819265179648 in words is "eighty-seven trillion, eight hundred nineteen billion, two hundred sixty-five million, one hundred seventy-nine thousand, six hundred forty-eight".