87828572160 has 720 divisors, whose sum is σ = 366370984980. Its totient is φ = 20065812480.

The previous prime is 87828572159. The next prime is 87828572197. The reversal of 87828572160 is 6127582878.

87828572160 is a `hidden beast` number, since 8 + 7 + 8 + 2 + 8 + 572 + 1 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 87824507904 + 4064256 = 296352^2 + 2016^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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 = 87828572097 and 87828572106.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 40641480 + ... + 40643640.

Almost surely, 2^87828572160 is an apocalyptic number.

87828572160 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 87828572160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183185492490).

87828572160 is an abundant number, since it is smaller than the sum of its proper divisors (278542412820).

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

87828572160 is a wasteful number, since it uses less digits than its factorization.

87828572160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2214 (or 2178 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The spelling of 87828572160 in words is "eighty-seven billion, eight hundred twenty-eight million, five hundred seventy-two thousand, one hundred sixty".