87827165706 has 128 divisors (see below), whose sum is σ = 212235448320. Its totient is φ = 23687718912.

The previous prime is 87827165669. The next prime is 87827165719. The reversal of 87827165706 is 60756172878.

It is a super-2 number, since 2×87827165706² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39260020 + ... + 39262256.

It is an arithmetic number, because the mean of its divisors is an integer number (1658089440).

Almost surely, 2^87827165706 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87827165706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106117724160).

87827165706 is an abundant number, since it is smaller than the sum of its proper divisors (124408282614).

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

87827165706 is a wasteful number, since it uses less digits than its factorization.

87827165706 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2788.

The product of its (nonzero) digits is 7902720, while the sum is 57.

The spelling of 87827165706 in words is "eighty-seven billion, eight hundred twenty-seven million, one hundred sixty-five thousand, seven hundred six".