11955459083040 has 1152 divisors, whose sum is σ = 47045708236800. Its totient is φ = 2737641553920.

The previous prime is 11955459083023. The next prime is 11955459083047. The reversal of 11955459083040 is 4038095455911.

11955459083040 is a `hidden beast` number, since 1 + 1 + 9 + 5 + 5 + 4 + 590 + 8 + 3 + 0 + 40 = 666.

It is not an unprimeable number, because it can be changed into a prime (11955459083047) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14778070156 + ... + 14778070964.

It is an arithmetic number, because the mean of its divisors is an integer number (40838288400).

Almost surely, 2^{11955459083040} is an apocalyptic number.

11955459083040 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 11955459083040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23522854118400).

11955459083040 is an abundant number, since it is smaller than the sum of its proper divisors (35090249153760).

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

11955459083040 is a wasteful number, since it uses less digits than its factorization.

11955459083040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1530 (or 1519 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 54.

The spelling of 11955459083040 in words is "eleven trillion, nine hundred fifty-five billion, four hundred fifty-nine million, eighty-three thousand, forty".