82378197504 has 240 divisors, whose sum is σ = 247463536320. Its totient is φ = 27358248960.

The previous prime is 82378197497. The next prime is 82378197509. The reversal of 82378197504 is 40579187328.

It is a happy number.

82378197504 is a `hidden beast` number, since 82 + 378 + 197 + 5 + 0 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (82378197509) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38692312 + ... + 38694440.

It is an arithmetic number, because the mean of its divisors is an integer number (1031098068).

Almost surely, 2^82378197504 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 82378197504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123731768160).

82378197504 is an abundant number, since it is smaller than the sum of its proper divisors (165085338816).

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

82378197504 is an equidigital number, since it uses as much as digits as its factorization.

82378197504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2473 (or 2445 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 82378197504 in words is "eighty-two billion, three hundred seventy-eight million, one hundred ninety-seven thousand, five hundred four".