82174785120 has 576 divisors, whose sum is σ = 310671728640. Its totient is φ = 20466432000.

The previous prime is 82174785109. The next prime is 82174785127. The reversal of 82174785120 is 2158747128.

82174785120 is a `hidden beast` number, since 82 + 17 + 47 + 8 + 512 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82174785127) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34951945 + ... + 34954295.

It is an arithmetic number, because the mean of its divisors is an integer number (539360640).

Almost surely, 2^82174785120 is an apocalyptic number.

82174785120 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 82174785120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155335864320).

82174785120 is an abundant number, since it is smaller than the sum of its proper divisors (228496943520).

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

82174785120 is a wasteful number, since it uses less digits than its factorization.

82174785120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2441 (or 2421 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The spelling of 82174785120 in words is "eighty-two billion, one hundred seventy-four million, seven hundred eighty-five thousand, one hundred twenty".