11957339750400 has 1020 divisors, whose sum is σ = 48330898243584. Its totient is φ = 2898395136000.

The previous prime is 11957339750393. The next prime is 11957339750413. The reversal of 11957339750400 is 405793375911.

11957339750400 is a `hidden beast` number, since 1 + 1 + 95 + 73 + 39 + 7 + 50 + 400 = 666.

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

It is a congruent number.

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 59 ways as a sum of consecutive naturals, for example, 1459810305 + ... + 1459818495.

Almost surely, 2^{11957339750400} is an apocalyptic number.

11957339750400 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 11957339750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24165449121792).

11957339750400 is an abundant number, since it is smaller than the sum of its proper divisors (36373558493184).

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

11957339750400 is an frugal number, since it uses more digits than its factorization.

11957339750400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8256 (or 8212 counting only the distinct ones).

The product of its (nonzero) digits is 3572100, while the sum is 54.

The spelling of 11957339750400 in words is "eleven trillion, nine hundred fifty-seven billion, three hundred thirty-nine million, seven hundred fifty thousand, four hundred".