81982055232 has 1344 divisors, whose sum is σ = 330237388800. Its totient is φ = 19670999040.

The previous prime is 81982055231. The next prime is 81982055291. The reversal of 81982055232 is 23255028918.

81982055232 is a `hidden beast` number, since 8 + 1 + 98 + 2 + 0 + 552 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81982055231) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 921146644 + ... + 921146732.

Almost surely, 2^81982055232 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 81982055232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165118694400).

81982055232 is an abundant number, since it is smaller than the sum of its proper divisors (248255333568).

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

81982055232 is a wasteful number, since it uses less digits than its factorization.

81982055232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 81982055232 in words is "eighty-one billion, nine hundred eighty-two million, fifty-five thousand, two hundred thirty-two".