11372089600 has 243 divisors, whose sum is σ = 29777103909. Its totient is φ = 4299724800.

The previous prime is 11372089537. The next prime is 11372089649. The reversal of 11372089600 is 698027311.

The square root of 11372089600 is 106640.

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

It can be written as a sum of positive squares in only one way, i.e., 4093952256 + 7278137344 = 63984^2 + 85312^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11372089600.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 264467179 + ... + 264467221.

Almost surely, 2^11372089600 is an apocalyptic number.

11372089600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11372089600 is the 106640-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11372089600

11372089600 is an abundant number, since it is smaller than the sum of its proper divisors (18405014309).

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

11372089600 is an frugal number, since it uses more digits than its factorization.

11372089600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The spelling of 11372089600 in words is "eleven billion, three hundred seventy-two million, eighty-nine thousand, six hundred".