87006642713874 has 128 divisors (see below), whose sum is σ = 209341699015680. Its totient is φ = 26627270890752.

The previous prime is 87006642713873. The next prime is 87006642713953. The reversal of 87006642713874 is 47831724660078.

87006642713874 is a `hidden beast` number, since 8 + 7 + 0 + 0 + 6 + 6 + 427 + 138 + 74 = 666.

It is a super-2 number, since 2×87006642713874² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (87006642713873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 462222744 + ... + 462410940.

It is an arithmetic number, because the mean of its divisors is an integer number (1635482023560).

Almost surely, 2^{87006642713874} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87006642713874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104670849507840).

87006642713874 is an abundant number, since it is smaller than the sum of its proper divisors (122335056301806).

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

87006642713874 is a wasteful number, since it uses less digits than its factorization.

87006642713874 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191761 (or 191755 counting only the distinct ones).

The product of its (nonzero) digits is 75866112, while the sum is 63.

The spelling of 87006642713874 in words is "eighty-seven trillion, six billion, six hundred forty-two million, seven hundred thirteen thousand, eight hundred seventy-four".