87300178560 has 384 divisors, whose sum is σ = 362659939200. Its totient is φ = 18903932928.

The previous prime is 87300178543. The next prime is 87300178571. The reversal of 87300178560 is 6587100378.

87300178560 is a `hidden beast` number, since 8 + 73 + 0 + 0 + 17 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 709102 + ... + 823058.

It is an arithmetic number, because the mean of its divisors is an integer number (944426925).

Almost surely, 2^87300178560 is an apocalyptic number.

87300178560 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 87300178560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181329969600).

87300178560 is an abundant number, since it is smaller than the sum of its proper divisors (275359760640).

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

87300178560 is a wasteful number, since it uses less digits than its factorization.

87300178560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114008 (or 113993 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 87300178560 in words is "eighty-seven billion, three hundred million, one hundred seventy-eight thousand, five hundred sixty".