10577761280 has 88 divisors (see below), whose sum is σ = 26060488008. Its totient is φ = 4116676608.

The previous prime is 10577761279. The next prime is 10577761289. The reversal of 10577761280 is 8216777501.

It can be written as a sum of positive squares in 4 ways, for example, as 3830124544 + 6747636736 = 61888^2 + 82144^2 .

It is a super-2 number, since 2×10577761280² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10577761289) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 161522 + ... + 217358.

Almost surely, 2^10577761280 is an apocalyptic number.

10577761280 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 10577761280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13030244004).

10577761280 is an abundant number, since it is smaller than the sum of its proper divisors (15482726728).

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

10577761280 is an equidigital number, since it uses as much as digits as its factorization.

10577761280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55899 (or 55881 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 44.

The spelling of 10577761280 in words is "ten billion, five hundred seventy-seven million, seven hundred sixty-one thousand, two hundred eighty".