12592081152 has 594 divisors, whose sum is σ = 46437583878. Its totient is φ = 3386105856.

The previous prime is 12592081141. The next prime is 12592081217. The reversal of 12592081152 is 25118029521.

12592081152 is a `hidden beast` number, since 1 + 2 + 592 + 0 + 8 + 11 + 52 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11851370496 + 740710656 = 108864^2 + 27216^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 65 ways as a sum of consecutive naturals, for example, 740710648 + ... + 740710664.

Almost surely, 2^12592081152 is an apocalyptic number.

12592081152 is a gapful number since it is divisible by the number (12) 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 12592081152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23218791939).

12592081152 is an abundant number, since it is smaller than the sum of its proper divisors (33845502726).

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

12592081152 is an frugal number, since it uses more digits than its factorization.

12592081152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The spelling of 12592081152 in words is "twelve billion, five hundred ninety-two million, eighty-one thousand, one hundred fifty-two".