81552405735180 has 144 divisors (see below), whose sum is σ = 247960757772000. Its totient is φ = 21695899935744.

The previous prime is 81552405735161. The next prime is 81552405735197. The reversal of 81552405735180 is 8153750425518.

81552405735180 is a `hidden beast` number, since 8 + 1 + 5 + 52 + 4 + 0 + 5 + 73 + 518 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 251064232 + ... + 251388848.

It is an arithmetic number, because the mean of its divisors is an integer number (1721949706750).

Almost surely, 2^{81552405735180} 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 81552405735180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123980378886000).

81552405735180 is an abundant number, since it is smaller than the sum of its proper divisors (166408352036820).

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

81552405735180 is a wasteful number, since it uses less digits than its factorization.

81552405735180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327928 (or 327923 counting only the distinct ones).

The product of its (nonzero) digits is 6720000, while the sum is 54.

The spelling of 81552405735180 in words is "eighty-one trillion, five hundred fifty-two billion, four hundred five million, seven hundred thirty-five thousand, one hundred eighty".