11890944000 has 576 divisors, whose sum is σ = 46273565520. Its totient is φ = 2919628800.

The previous prime is 11890943971. The next prime is 11890944001. The reversal of 11890944000 is 44909811.

It can be written as a sum of positive squares in 8 ways, for example, as 60466176 + 11830477824 = 7776^2 + 108768^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×11890944000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11890944001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29951802 + ... + 29952198.

Almost surely, 2^11890944000 is an apocalyptic number.

11890944000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11890944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23136782760).

11890944000 is an abundant number, since it is smaller than the sum of its proper divisors (34382621520).

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

11890944000 is a wasteful number, since it uses less digits than its factorization.

11890944000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 11890944000 in words is "eleven billion, eight hundred ninety million, nine hundred forty-four thousand".