82490380560 has 400 divisors, whose sum is σ = 334405310976. Its totient is φ = 18453298176.

The previous prime is 82490380517. The next prime is 82490380571. The reversal of 82490380560 is 6508309428.

82490380560 is a `hidden beast` number, since 8 + 2 + 4 + 9 + 0 + 3 + 80 + 560 = 666.

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 79 ways as a sum of consecutive naturals, for example, 2112574 + ... + 2151266.

Almost surely, 2^82490380560 is an apocalyptic number.

82490380560 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 82490380560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167202655488).

82490380560 is an abundant number, since it is smaller than the sum of its proper divisors (251914930416).

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

82490380560 is a wasteful number, since it uses less digits than its factorization.

82490380560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38772 (or 38757 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

Adding to 82490380560 its reverse (6508309428), we get a palindrome (88998689988).

The spelling of 82490380560 in words is "eighty-two billion, four hundred ninety million, three hundred eighty thousand, five hundred sixty".