11360876948100 has 405 divisors, whose sum is σ = 39138993796287. Its totient is φ = 2850063045120.

The previous prime is 11360876948041. The next prime is 11360876948101. The reversal of 11360876948100 is 184967806311.

The square root of 11360876948100 is 3370590.

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

11360876948100 is a `hidden beast` number, since 1 + 1 + 360 + 87 + 69 + 48 + 100 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 265742312004 + 11095134636096 = 515502^2 + 3330936^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a super-2 number, since 2×11360876948100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (11360876948101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 5157001599 + ... + 5157003801.

Almost surely, 2^{11360876948100} is an apocalyptic number.

11360876948100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11360876948100 is the 3370590-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11360876948100

11360876948100 is an abundant number, since it is smaller than the sum of its proper divisors (27778116848187).

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

11360876948100 is an equidigital number, since it uses as much as digits as its factorization.

11360876948100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4466 (or 2230 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 11360876948100 in words is "eleven trillion, three hundred sixty billion, eight hundred seventy-six million, nine hundred forty-eight thousand, one hundred".