87381659221872 has 320 divisors, whose sum is σ = 258823971824640. Its totient is φ = 25260080947200.

The previous prime is 87381659221823. The next prime is 87381659221877. The reversal of 87381659221872 is 27812295618378.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a junction number, because it is equal to n+sod(n) for n = 87381659221797 and 87381659221806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87381659221877) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46419972 + ... + 48265692.

It is an arithmetic number, because the mean of its divisors is an integer number (808824911952).

Almost surely, 2^{87381659221872} 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 87381659221872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129411985912320).

87381659221872 is an abundant number, since it is smaller than the sum of its proper divisors (171442312602768).

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

87381659221872 is a wasteful number, since it uses less digits than its factorization.

87381659221872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1845872 (or 1845866 counting only the distinct ones).

The product of its digits is 162570240, while the sum is 69.

The spelling of 87381659221872 in words is "eighty-seven trillion, three hundred eighty-one billion, six hundred fifty-nine million, two hundred twenty-one thousand, eight hundred seventy-two".