87846716160 has 576 divisors, whose sum is σ = 360746050560. Its totient is φ = 20074770432.

The previous prime is 87846716159. The next prime is 87846716179. The reversal of 87846716160 is 6161764878.

87846716160 is a `hidden beast` number, since 8 + 7 + 8 + 467 + 16 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a junction number, because it is equal to n+sod(n) for n = 87846716097 and 87846716106.

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, 19593279 + ... + 19597761.

Almost surely, 2^87846716160 is an apocalyptic number.

87846716160 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 87846716160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180373025280).

87846716160 is an abundant number, since it is smaller than the sum of its proper divisors (272899334400).

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

87846716160 is an frugal number, since it uses more digits than its factorization.

87846716160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4532 (or 4500 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 87846716160 in words is "eighty-seven billion, eight hundred forty-six million, seven hundred sixteen thousand, one hundred sixty".