87813839556 has 135 divisors (see below), whose sum is σ = 233289293853. Its totient is φ = 28803664800.

The previous prime is 87813839549. The next prime is 87813839569. The reversal of 87813839556 is 65593831878.

The square root of 87813839556 is 296334.

It is a perfect power (a square), and thus also a powerful number.

87813839556 is a `hidden beast` number, since 8 + 78 + 1 + 3 + 8 + 3 + 9 + 556 = 666.

It can be written as a sum of positive squares in only one way, i.e., 84370497156 + 3443342400 = 290466^2 + 58680^2 .

It is a super-2 number, since 2×87813839556² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 87813839493 and 87813839502.

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 538735131 + ... + 538735293.

Almost surely, 2^87813839556 is an apocalyptic number.

87813839556 is the 296334-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87813839556

87813839556 is an abundant number, since it is smaller than the sum of its proper divisors (145475454297).

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

87813839556 is a wasteful number, since it uses less digits than its factorization.

87813839556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 269 counting only the distinct ones).

The product of its digits is 43545600, while the sum is 63.

It can be divided in two parts, 87813 and 839556, that added together give a square (927369 = 963²).

The spelling of 87813839556 in words is "eighty-seven billion, eight hundred thirteen million, eight hundred thirty-nine thousand, five hundred fifty-six".