81262054224 has 160 divisors (see below), whose sum is σ = 251333913600. Its totient is φ = 24989852160.

The previous prime is 81262054183. The next prime is 81262054241. The reversal of 81262054224 is 42245026218.

81262054224 is a `hidden beast` number, since 8 + 1 + 2 + 620 + 5 + 4 + 2 + 24 = 666.

It is a Cunningham number, because it is equal to 285065²-1.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15390817 + ... + 15396095.

It is an arithmetic number, because the mean of its divisors is an integer number (1570836960).

Almost surely, 2^81262054224 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 81262054224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125666956800).

81262054224 is an abundant number, since it is smaller than the sum of its proper divisors (170071859376).

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

81262054224 is a wasteful number, since it uses less digits than its factorization.

81262054224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8050 (or 8038 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 81262054224 in words is "eighty-one billion, two hundred sixty-two million, fifty-four thousand, two hundred twenty-four".