119919824640 has 1728 divisors, whose sum is σ = 550996992000. Its totient is φ = 23843635200.

The previous prime is 119919824599. The next prime is 119919824669. The reversal of 119919824640 is 46428919911.

119919824640 is a `hidden beast` number, since 1 + 1 + 9 + 91 + 98 + 2 + 464 + 0 = 666.

119919824640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×119919824640² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1347413716 + ... + 1347413804.

It is an arithmetic number, because the mean of its divisors is an integer number (318864000).

Almost surely, 2^119919824640 is an apocalyptic number.

119919824640 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 119919824640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275498496000).

119919824640 is an abundant number, since it is smaller than the sum of its proper divisors (431077167360).

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

119919824640 is a wasteful number, since it uses less digits than its factorization.

119919824640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 119919824640 in words is "one hundred nineteen billion, nine hundred nineteen million, eight hundred twenty-four thousand, six hundred forty".