82155697920 has 216 divisors, whose sum is σ = 288912466752. Its totient is φ = 21548851200.

The previous prime is 82155697909. The next prime is 82155698003. The reversal of 82155697920 is 2979655128.

82155697920 is a `hidden beast` number, since 8 + 2 + 1 + 5 + 569 + 79 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 644265 + ... + 761175.

Almost surely, 2^82155697920 is an apocalyptic number.

82155697920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82155697920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144456233376).

82155697920 is an abundant number, since it is smaller than the sum of its proper divisors (206756768832).

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

82155697920 is a wasteful number, since it uses less digits than its factorization.

82155697920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116999 (or 116982 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 82155697920 in words is "eighty-two billion, one hundred fifty-five million, six hundred ninety-seven thousand, nine hundred twenty".