81627796237050 has 432 divisors, whose sum is σ = 268858519667712. Its totient is φ = 17386011590400.

The previous prime is 81627796236911. The next prime is 81627796237051. The reversal of 81627796237050 is 5073269772618.

81627796237050 is a `hidden beast` number, since 8 + 1 + 62 + 77 + 96 + 2 + 370 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (81627796237051) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 68777767 + ... + 69954533.

It is an arithmetic number, because the mean of its divisors is an integer number (622357684416).

Almost surely, 2^{81627796237050} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81627796237050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134429259833856).

81627796237050 is an abundant number, since it is smaller than the sum of its proper divisors (187230723430662).

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

81627796237050 is a wasteful number, since it uses less digits than its factorization.

81627796237050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176891 (or 1176864 counting only the distinct ones).

The product of its (nonzero) digits is 53343360, while the sum is 63.

The spelling of 81627796237050 in words is "eighty-one trillion, six hundred twenty-seven billion, seven hundred ninety-six million, two hundred thirty-seven thousand, fifty".