11957343519744 has 528 divisors, whose sum is σ = 41004068152320. Its totient is φ = 3283671121920.

The previous prime is 11957343519727. The next prime is 11957343519763. The reversal of 11957343519744 is 44791534375911.

It is a happy number.

11957343519744 is a `hidden beast` number, since 1 + 1 + 9 + 5 + 7 + 3 + 43 + 519 + 74 + 4 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 417184774 + ... + 417213434.

Almost surely, 2^{11957343519744} is an apocalyptic number.

11957343519744 is a gapful number since it is divisible by the number (14) 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 11957343519744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20502034076160).

11957343519744 is an abundant number, since it is smaller than the sum of its proper divisors (29046724632576).

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

11957343519744 is a wasteful number, since it uses less digits than its factorization.

11957343519744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28946 (or 28925 counting only the distinct ones).

The product of its digits is 57153600, while the sum is 63.

The spelling of 11957343519744 in words is "eleven trillion, nine hundred fifty-seven billion, three hundred forty-three million, five hundred nineteen thousand, seven hundred forty-four".