11531890944000 has 1920 divisors, whose sum is σ = 50088598560000. Its totient is φ = 2584402329600.

The previous prime is 11531890943987. The next prime is 11531890944037. The reversal of 11531890944000 is 44909813511.

11531890944000 is a `hidden beast` number, since 1 + 153 + 1 + 8 + 9 + 0 + 94 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×11531890944000² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7693055251 + ... + 7693056749.

It is an arithmetic number, because the mean of its divisors is an integer number (26087811750).

Almost surely, 2^{11531890944000} is an apocalyptic number.

11531890944000 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 11531890944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25044299280000).

11531890944000 is an abundant number, since it is smaller than the sum of its proper divisors (38556707616000).

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

11531890944000 is an equidigital number, since it uses as much as digits as its factorization.

11531890944000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1608 (or 1569 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 11531890944000 in words is "eleven trillion, five hundred thirty-one billion, eight hundred ninety million, nine hundred forty-four thousand".