87158918880 has 288 divisors, whose sum is σ = 341547373440. Its totient is φ = 20017290240.

The previous prime is 87158918867. The next prime is 87158918887. The reversal of 87158918880 is 8881985178.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87158918887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156159 + ... + 445761.

It is an arithmetic number, because the mean of its divisors is an integer number (1185928380).

Almost surely, 2^87158918880 is an apocalyptic number.

87158918880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87158918880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170773686720).

87158918880 is an abundant number, since it is smaller than the sum of its proper divisors (254388454560).

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

87158918880 is a wasteful number, since it uses less digits than its factorization.

87158918880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289654 (or 289643 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 63.

The spelling of 87158918880 in words is "eighty-seven billion, one hundred fifty-eight million, nine hundred eighteen thousand, eight hundred eighty".