12577706000 has 160 divisors (see below), whose sum is σ = 32317440480. Its totient is φ = 4725504000.

The previous prime is 12577705999. The next prime is 12577706017. The reversal of 12577706000 is 60777521.

It can be written as a sum of positive squares in 16 ways, for example, as 6254911744 + 6322794256 = 79088^2 + 79516^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2143070 + ... + 2148930.

It is an arithmetic number, because the mean of its divisors is an integer number (201984003).

Almost surely, 2^12577706000 is an apocalyptic number.

12577706000 is a gapful number since it is divisible by the number (10) 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 12577706000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16158720240).

12577706000 is an abundant number, since it is smaller than the sum of its proper divisors (19739734480).

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

12577706000 is a wasteful number, since it uses less digits than its factorization.

12577706000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5950 (or 5934 counting only the distinct ones).

The product of its (nonzero) digits is 20580, while the sum is 35.

The spelling of 12577706000 in words is "twelve billion, five hundred seventy-seven million, seven hundred six thousand".