87158522880 has 704 divisors, whose sum is σ = 363979526400. Its totient is φ = 19499581440.

The previous prime is 87158522851. The next prime is 87158522897. The reversal of 87158522880 is 8822585178.

It is a tau number, because it is divible by the number of its divisors (704).

It is a super-2 number, since 2×87158522880² (a number of 23 digits) contains 22 as substring.

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 (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19766116 + ... + 19770524.

Almost surely, 2^87158522880 is an apocalyptic number.

87158522880 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 87158522880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181989763200).

87158522880 is an abundant number, since it is smaller than the sum of its proper divisors (276821003520).

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

87158522880 is a wasteful number, since it uses less digits than its factorization.

87158522880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4467 (or 4443 counting only the distinct ones).

The product of its (nonzero) digits is 2867200, while the sum is 54.

The spelling of 87158522880 in words is "eighty-seven billion, one hundred fifty-eight million, five hundred twenty-two thousand, eight hundred eighty".