10577780224 has 160 divisors (see below), whose sum is σ = 24720132096. Its totient is φ = 4472709120.

The previous prime is 10577780219. The next prime is 10577780233. The reversal of 10577780224 is 42208777501.

It is a super-2 number, since 2×10577780224² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4791729 + ... + 4793935.

Almost surely, 2^10577780224 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 10577780224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12360066048).

10577780224 is an abundant number, since it is smaller than the sum of its proper divisors (14142351872).

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

10577780224 is a wasteful number, since it uses less digits than its factorization.

10577780224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2296 (or 2280 counting only the distinct ones).

The product of its (nonzero) digits is 219520, while the sum is 43.

The spelling of 10577780224 in words is "ten billion, five hundred seventy-seven million, seven hundred eighty thousand, two hundred twenty-four".