11988948666240 has 1152 divisors, whose sum is σ = 53069719903200. Its totient is φ = 2470677479424.

The previous prime is 11988948666239. The next prime is 11988948666251. The reversal of 11988948666240 is 4266684988911.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 157734166 + ... + 157810154.

Almost surely, 2^{11988948666240} is an apocalyptic number.

11988948666240 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 11988948666240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26534859951600).

11988948666240 is an abundant number, since it is smaller than the sum of its proper divisors (41080771236960).

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

11988948666240 is a wasteful number, since it uses less digits than its factorization.

11988948666240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76084 (or 76062 counting only the distinct ones).

The product of its (nonzero) digits is 286654464, while the sum is 72.

The spelling of 11988948666240 in words is "eleven trillion, nine hundred eighty-eight billion, nine hundred forty-eight million, six hundred sixty-six thousand, two hundred forty".