82619272944 has 280 divisors, whose sum is σ = 273676514832. Its totient is φ = 23925196800.

The previous prime is 82619272943. The next prime is 82619272949. The reversal of 82619272944 is 44927291628.

It is a happy number.

82619272944 is a `hidden beast` number, since 8 + 261 + 92 + 7 + 294 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82619272943) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2561719 + ... + 2593769.

Almost surely, 2^82619272944 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 82619272944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136838257416).

82619272944 is an abundant number, since it is smaller than the sum of its proper divisors (191057241888).

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

82619272944 is a wasteful number, since it uses less digits than its factorization.

82619272944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32107 (or 32086 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 82619272944 in words is "eighty-two billion, six hundred nineteen million, two hundred seventy-two thousand, nine hundred forty-four".