11960316244800 has 3024 divisors, whose sum is σ = 58107353391360. Its totient is φ = 2274390835200.

The previous prime is 11960316244769. The next prime is 11960316244823. The reversal of 11960316244800 is 844261306911.

11960316244800 is a `hidden beast` number, since 1 + 1 + 9 + 6 + 0 + 3 + 162 + 4 + 480 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 7671786421 + ... + 7671787979.

It is an arithmetic number, because the mean of its divisors is an integer number (19215394640).

Almost surely, 2^{11960316244800} is an apocalyptic number.

11960316244800 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 11960316244800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29053676695680).

11960316244800 is an abundant number, since it is smaller than the sum of its proper divisors (46147037146560).

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

11960316244800 is a wasteful number, since it uses less digits than its factorization.

11960316244800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1670 (or 1641 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 11960316244800 in words is "eleven trillion, nine hundred sixty billion, three hundred sixteen million, two hundred forty-four thousand, eight hundred".