11973297140480 has 576 divisors, whose sum is σ = 31847569625088. Its totient is φ = 4285908910080.

The previous prime is 11973297140383. The next prime is 11973297140527. The reversal of 11973297140480 is 8404179237911.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37770653282 + ... + 37770653598.

It is an arithmetic number, because the mean of its divisors is an integer number (55290919488).

Almost surely, 2^{11973297140480} is an apocalyptic number.

11973297140480 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 11973297140480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15923784812544).

11973297140480 is an abundant number, since it is smaller than the sum of its proper divisors (19874272484608).

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

11973297140480 is a wasteful number, since it uses less digits than its factorization.

11973297140480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 56.

The spelling of 11973297140480 in words is "eleven trillion, nine hundred seventy-three billion, two hundred ninety-seven million, one hundred forty thousand, four hundred eighty".