8382538090080 has 1152 divisors, whose sum is σ = 36479020032000. Its totient is φ = 1737650073600.

The previous prime is 8382538090063. The next prime is 8382538090103. The reversal of 8382538090080 is 800908352838.

8382538090080 is a `hidden beast` number, since 83 + 8 + 25 + 380 + 90 + 0 + 80 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 8382538089999 and 8382538090026.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2602462870 + ... + 2602466090.

It is an arithmetic number, because the mean of its divisors is an integer number (31665816000).

Almost surely, 2^{8382538090080} is an apocalyptic number.

8382538090080 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 8382538090080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18239510016000).

8382538090080 is an abundant number, since it is smaller than the sum of its proper divisors (28096481941920).

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

8382538090080 is a wasteful number, since it uses less digits than its factorization.

8382538090080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3753 (or 3728 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 8382538090080 in words is "eight trillion, three hundred eighty-two billion, five hundred thirty-eight million, ninety thousand, eighty".