11741889600 has 945 divisors, whose sum is σ = 51401554677. Its totient is φ = 2621445120.

The previous prime is 11741889587. The next prime is 11741889631. The reversal of 11741889600 is 698814711.

It is a happy number.

The square root of 11741889600 is 108360.

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., 4227080256 + 7514809344 = 65016^2 + 86688^2 .

It is a tau number, because it is divible by the number of its divisors (945).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 273067179 + ... + 273067221.

Almost surely, 2^11741889600 is an apocalyptic number.

11741889600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11741889600 is the 108360-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11741889600

11741889600 is an abundant number, since it is smaller than the sum of its proper divisors (39659665077).

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

11741889600 is an equidigital number, since it uses as much as digits as its factorization.

11741889600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 11741889600 in words is "eleven billion, seven hundred forty-one million, eight hundred eighty-nine thousand, six hundred".