84687581160 has 512 divisors, whose sum is σ = 355927219200. Its totient is φ = 17431511040.

The previous prime is 84687581087. The next prime is 84687581161. The reversal of 84687581160 is 6118578648.

It is a happy number.

84687581160 is a `hidden beast` number, since 8 + 46 + 8 + 7 + 581 + 16 + 0 = 666.

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 = 84687581097 and 84687581106.

It is not an unprimeable number, because it can be changed into a prime (84687581161) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4018972 + ... + 4039988.

It is an arithmetic number, because the mean of its divisors is an integer number (695170350).

Almost surely, 2^84687581160 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 84687581160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177963609600).

84687581160 is an abundant number, since it is smaller than the sum of its proper divisors (271239638040).

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

84687581160 is a wasteful number, since it uses less digits than its factorization.

84687581160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21098 (or 21088 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 84687581160 in words is "eighty-four billion, six hundred eighty-seven million, five hundred eighty-one thousand, one hundred sixty".