81262686572100 has 360 divisors, whose sum is σ = 287388451649376. Its totient is φ = 19698707520000.

The previous prime is 81262686572099. The next prime is 81262686572113. The reversal of 81262686572100 is 127568626218.

81262686572100 is a `hidden beast` number, since 8 + 1 + 2 + 6 + 2 + 68 + 6 + 572 + 1 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 2149162195 + ... + 2149200005.

Almost surely, 2^{81262686572100} 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 81262686572100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143694225824688).

81262686572100 is an abundant number, since it is smaller than the sum of its proper divisors (206125765077276).

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

81262686572100 is a wasteful number, since it uses less digits than its factorization.

81262686572100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61969 (or 61953 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 81262686572100 in words is "eighty-one trillion, two hundred sixty-two billion, six hundred eighty-six million, five hundred seventy-two thousand, one hundred".