8180428603392 has 384 divisors, whose sum is σ = 24019508097000. Its totient is φ = 2682425180160.

The previous prime is 8180428603357. The next prime is 8180428603489. The reversal of 8180428603392 is 2933068240818.

8180428603392 is a `hidden beast` number, since 8 + 1 + 8 + 0 + 4 + 28 + 603 + 3 + 9 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6444611813376 + 1735816790016 = 2538624^2 + 1317504^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6010600792 + ... + 6010602152.

Almost surely, 2^{8180428603392} 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 8180428603392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12009754048500).

8180428603392 is an abundant number, since it is smaller than the sum of its proper divisors (15839079493608).

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

8180428603392 is a wasteful number, since it uses less digits than its factorization.

8180428603392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1715 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 8180428603392 in words is "eight trillion, one hundred eighty billion, four hundred twenty-eight million, six hundred three thousand, three hundred ninety-two".