11760852948100 has 81 divisors (see below), whose sum is σ = 27111941291757. Its totient is φ = 4427395745280.

The previous prime is 11760852948079. The next prime is 11760852948161. The reversal of 11760852948100 is 184925806711.

The square root of 11760852948100 is 3429410.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 145080239236 + 11615772708864 = 380894^2 + 3408192^2 .

It is a super-2 number, since 2×11760852948100² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 582989614 + ... + 583009786.

Almost surely, 2^{11760852948100} is an apocalyptic number.

11760852948100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11760852948100 is the 3429410-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11760852948100

11760852948100 is an abundant number, since it is smaller than the sum of its proper divisors (15351088343657).

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

11760852948100 is an frugal number, since it uses more digits than its factorization.

11760852948100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40394 (or 20197 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 52.

The spelling of 11760852948100 in words is "eleven trillion, seven hundred sixty billion, eight hundred fifty-two million, nine hundred forty-eight thousand, one hundred".