11512720441600 has 729 divisors, whose sum is σ = 34018258924503. Its totient is φ = 3846241566720.

The previous prime is 11512720441597. The next prime is 11512720441603. The reversal of 11512720441600 is 614402721511.

The square root of 11512720441600 is 3393040.

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

It is an interprime number because it is at equal distance from previous prime (11512720441597) and next prime (11512720441603).

It can be written as a sum of positive squares in 4 ways, for example, as 62996984064 + 11449723457536 = 250992^2 + 3383744^2 .

It is not an unprimeable number, because it can be changed into a prime (11512720441603) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 138707475159 + ... + 138707475241.

Almost surely, 2^{11512720441600} is an apocalyptic number.

11512720441600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11512720441600 is the 3393040-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11512720441600

11512720441600 is an abundant number, since it is smaller than the sum of its proper divisors (22505538482903).

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

11512720441600 is an frugal number, since it uses more digits than its factorization.

11512720441600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The spelling of 11512720441600 in words is "eleven trillion, five hundred twelve billion, seven hundred twenty million, four hundred forty-one thousand, six hundred".