11999918126560 has 1536 divisors, whose sum is σ = 39399222804480. Its totient is φ = 3346624512000.

The previous prime is 11999918126531. The next prime is 11999918126563. The reversal of 11999918126560 is 6562181999911.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11999918126563) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 45627064989 + ... + 45627065251.

It is an arithmetic number, because the mean of its divisors is an integer number (25650535680).

Almost surely, 2^{11999918126560} is an apocalyptic number.

11999918126560 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 11999918126560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19699611402240).

11999918126560 is an abundant number, since it is smaller than the sum of its proper divisors (27399304677920).

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

11999918126560 is a wasteful number, since it uses less digits than its factorization.

11999918126560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 18895680, while the sum is 67.

The spelling of 11999918126560 in words is "eleven trillion, nine hundred ninety-nine billion, nine hundred eighteen million, one hundred twenty-six thousand, five hundred sixty".