11975721248160 has 144 divisors (see below), whose sum is σ = 41559812592480. Its totient is φ = 3139398090240.

The previous prime is 11975721248053. The next prime is 11975721248237. The reversal of 11975721248160 is 6184212757911.

11975721248160 is a `hidden beast` number, since 1 + 1 + 9 + 7 + 572 + 1 + 2 + 4 + 8 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 11975721248097 and 11975721248106.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70393626 + ... + 70563545.

It is an arithmetic number, because the mean of its divisors is an integer number (288609809670).

Almost surely, 2^{11975721248160} is an apocalyptic number.

11975721248160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11975721248160 is an abundant number, since it is smaller than the sum of its proper divisors (29584091344320).

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

11975721248160 is a wasteful number, since it uses less digits than its factorization.

11975721248160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140957251 (or 140957240 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 54.

The spelling of 11975721248160 in words is "eleven trillion, nine hundred seventy-five billion, seven hundred twenty-one million, two hundred forty-eight thousand, one hundred sixty".