81887913669100 has 216 divisors, whose sum is σ = 223259732927840. Its totient is φ = 25519236019200.

The previous prime is 81887913669097. The next prime is 81887913669103. The reversal of 81887913669100 is 196631978818.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (81887913669097) and next prime (81887913669103).

It is not an unprimeable number, because it can be changed into a prime (81887913669103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 526502146 + ... + 526657654.

Almost surely, 2^{81887913669100} 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 81887913669100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111629866463920).

81887913669100 is an abundant number, since it is smaller than the sum of its proper divisors (141371819258740).

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

81887913669100 is a wasteful number, since it uses less digits than its factorization.

81887913669100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161769 (or 161751 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 67.

The spelling of 81887913669100 in words is "eighty-one trillion, eight hundred eighty-seven billion, nine hundred thirteen million, six hundred sixty-nine thousand, one hundred".