12577355610 has 64 divisors (see below), whose sum is σ = 31094399232. Its totient is φ = 3253533696.

The previous prime is 12577355603. The next prime is 12577355629. The reversal of 12577355610 is 1655377521.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 357259 + ... + 390881.

It is an arithmetic number, because the mean of its divisors is an integer number (485849988).

Almost surely, 2^12577355610 is an apocalyptic number.

12577355610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12577355610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15547199616).

12577355610 is an abundant number, since it is smaller than the sum of its proper divisors (18517043622).

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

12577355610 is a wasteful number, since it uses less digits than its factorization.

12577355610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34007.

The product of its (nonzero) digits is 220500, while the sum is 42.

The spelling of 12577355610 in words is "twelve billion, five hundred seventy-seven million, three hundred fifty-five thousand, six hundred ten".