119725975705752 has 576 divisors, whose sum is σ = 382417773847200. Its totient is φ = 33593723412480.

The previous prime is 119725975705741. The next prime is 119725975705789. The reversal of 119725975705752 is 257507579527911.

119725975705752 is a `hidden beast` number, since 1 + 197 + 259 + 75 + 70 + 5 + 7 + 52 = 666.

It is a super-2 number, since 2×119725975705752² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 3243445248 + ... + 3243482160.

Almost surely, 2^{119725975705752} is an apocalyptic number.

119725975705752 is a gapful number since it is divisible by the number (12) 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 119725975705752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191208886923600).

119725975705752 is an abundant number, since it is smaller than the sum of its proper divisors (262691798141448).

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

119725975705752 is a wasteful number, since it uses less digits than its factorization.

119725975705752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37336 (or 37310 counting only the distinct ones).

The product of its (nonzero) digits is 486202500, while the sum is 72.

The spelling of 119725975705752 in words is "one hundred nineteen trillion, seven hundred twenty-five billion, nine hundred seventy-five million, seven hundred five thousand, seven hundred fifty-two".