81935583264 has 192 divisors, whose sum is σ = 253266652800. Its totient is φ = 25681895424.

The previous prime is 81935583227. The next prime is 81935583311. The reversal of 81935583264 is 46238553918.

81935583264 is a `hidden beast` number, since 8 + 1 + 9 + 35 + 583 + 26 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 81935583264.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23631259 + ... + 23634725.

It is an arithmetic number, because the mean of its divisors is an integer number (1319097150).

Almost surely, 2^81935583264 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 81935583264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126633326400).

81935583264 is an abundant number, since it is smaller than the sum of its proper divisors (171331069536).

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

81935583264 is a wasteful number, since it uses less digits than its factorization.

81935583264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5112 (or 5098 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The spelling of 81935583264 in words is "eighty-one billion, nine hundred thirty-five million, five hundred eighty-three thousand, two hundred sixty-four".