81927955200 has 648 divisors, whose sum is σ = 334695744768. Its totient is φ = 17281105920.

The previous prime is 81927955189. The next prime is 81927955229. The reversal of 81927955200 is 255972918.

It is a super-3 number, since 3×81927955200³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 81927955200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22711797 + ... + 22715403.

Almost surely, 2^81927955200 is an apocalyptic number.

81927955200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81927955200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167347872384).

81927955200 is an abundant number, since it is smaller than the sum of its proper divisors (252767789568).

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

81927955200 is a wasteful number, since it uses less digits than its factorization.

81927955200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3669 (or 3637 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 48.

The spelling of 81927955200 in words is "eighty-one billion, nine hundred twenty-seven million, nine hundred fifty-five thousand, two hundred".