82457948160 has 832 divisors, whose sum is σ = 340452034560. Its totient is φ = 18775867392.

The previous prime is 82457948159. The next prime is 82457948189. The reversal of 82457948160 is 6184975428.

It is a happy number.

82457948160 is a `hidden beast` number, since 8 + 2 + 4 + 579 + 4 + 8 + 1 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 82457948097 and 82457948106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 313528189 + ... + 313528451.

Almost surely, 2^82457948160 is an apocalyptic number.

82457948160 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 82457948160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170226017280).

82457948160 is an abundant number, since it is smaller than the sum of its proper divisors (257994086400).

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

82457948160 is an frugal number, since it uses more digits than its factorization.

82457948160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 82457948160 in words is "eighty-two billion, four hundred fifty-seven million, nine hundred forty-eight thousand, one hundred sixty".