82795245120 has 1680 divisors, whose sum is σ = 373351714560. Its totient is φ = 17306763264.

The previous prime is 82795245097. The next prime is 82795245157. The reversal of 82795245120 is 2154259728.

82795245120 is a `hidden beast` number, since 8 + 2 + 79 + 524 + 51 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×82795245120² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1134181404 + ... + 1134181476.

Almost surely, 2^82795245120 is an apocalyptic number.

82795245120 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 82795245120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186675857280).

82795245120 is an abundant number, since it is smaller than the sum of its proper divisors (290556469440).

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

82795245120 is a wasteful number, since it uses less digits than its factorization.

82795245120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 82795245120 in words is "eighty-two billion, seven hundred ninety-five million, two hundred forty-five thousand, one hundred twenty".