82372262560 has 768 divisors, whose sum is σ = 259183411200. Its totient is φ = 24086937600.

The previous prime is 82372262459. The next prime is 82372262561. The reversal of 82372262560 is 6526227328.

It is not an unprimeable number, because it can be changed into a prime (82372262561) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 925530996 + ... + 925531084.

It is an arithmetic number, because the mean of its divisors is an integer number (337478400).

Almost surely, 2^82372262560 is an apocalyptic number.

82372262560 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 82372262560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129591705600).

82372262560 is an abundant number, since it is smaller than the sum of its proper divisors (176811148640).

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

82372262560 is a wasteful number, since it uses less digits than its factorization.

82372262560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 43.

Adding to 82372262560 its reverse (6526227328), we get a palindrome (88898489888).

The spelling of 82372262560 in words is "eighty-two billion, three hundred seventy-two million, two hundred sixty-two thousand, five hundred sixty".