87250997160 has 144 divisors (see below), whose sum is σ = 286254177300. Its totient is φ = 23048395776.

The previous prime is 87250997153. The next prime is 87250997161. The reversal of 87250997160 is 6179905278.

87250997160 is a `hidden beast` number, since 8 + 7 + 2 + 509 + 9 + 71 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 82354076676 + 4896920484 = 286974^2 + 69978^2 .

It is a super-2 number, since 2×87250997160² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 87250997097 and 87250997106.

It is not an unprimeable number, because it can be changed into a prime (87250997161) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4111056 + ... + 4132224.

Almost surely, 2^87250997160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87250997160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143127088650).

87250997160 is an abundant number, since it is smaller than the sum of its proper divisors (199003180140).

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

87250997160 is a wasteful number, since it uses less digits than its factorization.

87250997160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21400 (or 21286 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 87250997160 in words is "eighty-seven billion, two hundred fifty million, nine hundred ninety-seven thousand, one hundred sixty".