11993319743040 has 896 divisors, whose sum is σ = 46237360204800. Its totient is φ = 2953562185728.

The previous prime is 11993319742991. The next prime is 11993319743059. The reversal of 11993319743040 is 4034791339911.

11993319743040 is a `hidden beast` number, since 1 + 1 + 9 + 93 + 31 + 97 + 430 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 466780434 + ... + 466806126.

Almost surely, 2^{11993319743040} is an apocalyptic number.

11993319743040 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 11993319743040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23118680102400).

11993319743040 is an abundant number, since it is smaller than the sum of its proper divisors (34244040461760).

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

11993319743040 is an equidigital number, since it uses as much as digits as its factorization.

11993319743040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25783 (or 25755 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The spelling of 11993319743040 in words is "eleven trillion, nine hundred ninety-three billion, three hundred nineteen million, seven hundred forty-three thousand, forty".