87088417920 has 512 divisors, whose sum is σ = 358504704000. Its totient is φ = 19566931968.

The previous prime is 87088417903. The next prime is 87088417931. The reversal of 87088417920 is 2971488078.

It is a happy number.

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 (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7130539 + ... + 7142741.

It is an arithmetic number, because the mean of its divisors is an integer number (700204500).

Almost surely, 2^87088417920 is an apocalyptic number.

87088417920 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 87088417920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179252352000).

87088417920 is an abundant number, since it is smaller than the sum of its proper divisors (271416286080).

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

87088417920 is a wasteful number, since it uses less digits than its factorization.

87088417920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12297 (or 12279 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 87088417920 in words is "eighty-seven billion, eighty-eight million, four hundred seventeen thousand, nine hundred twenty".