11955338609760 has 1008 divisors, whose sum is σ = 53050867497936. Its totient is φ = 2522429392896.

The previous prime is 11955338609723. The next prime is 11955338609807. The reversal of 11955338609760 is 6790683355911.

11955338609760 is a `hidden beast` number, since 1 + 1 + 9 + 5 + 533 + 8 + 6 + 0 + 97 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-3 number, since 3×11955338609760³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 74219227 + ... + 74380133.

It is an arithmetic number, because the mean of its divisors is an integer number (52629828867).

Almost surely, 2^{11955338609760} is an apocalyptic number.

11955338609760 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 11955338609760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26525433748968).

11955338609760 is an abundant number, since it is smaller than the sum of its proper divisors (41095528888176).

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

11955338609760 is a wasteful number, since it uses less digits than its factorization.

11955338609760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160967 (or 160937 counting only the distinct ones).

The product of its (nonzero) digits is 36741600, while the sum is 63.

The spelling of 11955338609760 in words is "eleven trillion, nine hundred fifty-five billion, three hundred thirty-eight million, six hundred nine thousand, seven hundred sixty".