87821881344 has 416 divisors, whose sum is σ = 272465424000. Its totient is φ = 27918729216.

The previous prime is 87821881321. The next prime is 87821881351. The reversal of 87821881344 is 44318812878.

87821881344 is a `hidden beast` number, since 8 + 7 + 8 + 218 + 81 + 344 = 666.

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

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, 445796254 + ... + 445796450.

Almost surely, 2^87821881344 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 87821881344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136232712000).

87821881344 is an abundant number, since it is smaller than the sum of its proper divisors (184643542656).

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

87821881344 is a wasteful number, since it uses less digits than its factorization.

87821881344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 370 counting only the distinct ones).

The product of its digits is 2752512, while the sum is 54.

The spelling of 87821881344 in words is "eighty-seven billion, eight hundred twenty-one million, eight hundred eighty-one thousand, three hundred forty-four".