87839191152 has 160 divisors (see below), whose sum is σ = 253871876160. Its totient is φ = 29078323200.

The previous prime is 87839191129. The next prime is 87839191171. The reversal of 87839191152 is 25119193878.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44519638 + ... + 44521610.

It is an arithmetic number, because the mean of its divisors is an integer number (1586699226).

Almost surely, 2^87839191152 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 87839191152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126935938080).

87839191152 is an abundant number, since it is smaller than the sum of its proper divisors (166032685008).

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

87839191152 is a wasteful number, since it uses less digits than its factorization.

87839191152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2648 (or 2636 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 54.

The spelling of 87839191152 in words is "eighty-seven billion, eight hundred thirty-nine million, one hundred ninety-one thousand, one hundred fifty-two".