81627279552 has 840 divisors, whose sum is σ = 319325030640. Its totient is φ = 20379340800.

The previous prime is 81627279541. The next prime is 81627279553. The reversal of 81627279552 is 25597272618.

81627279552 is a `hidden beast` number, since 8 + 1 + 62 + 7 + 27 + 9 + 552 = 666.

It is a super-3 number, since 3×81627279552³ (a number of 34 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (81627279553) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 62741302 + ... + 62742602.

It is an arithmetic number, because the mean of its divisors is an integer number (380148846).

Almost surely, 2^81627279552 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 81627279552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159662515320).

81627279552 is an abundant number, since it is smaller than the sum of its proper divisors (237697751088).

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

81627279552 is a wasteful number, since it uses less digits than its factorization.

81627279552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1371 (or 1345 counting only the distinct ones).

The product of its digits is 4233600, while the sum is 54.

The spelling of 81627279552 in words is "eighty-one billion, six hundred twenty-seven million, two hundred seventy-nine thousand, five hundred fifty-two".