119716838629920 has 1152 divisors, whose sum is σ = 502212171202560. Its totient is φ = 25357613137920.

The previous prime is 119716838629879. The next prime is 119716838629963. The reversal of 119716838629920 is 29926838617911.

119716838629920 is a `hidden beast` number, since 1 + 19 + 71 + 68 + 386 + 2 + 99 + 20 = 666.

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

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, 24780961905 + ... + 24780966735.

It is an arithmetic number, because the mean of its divisors is an integer number (435948065280).

Almost surely, 2^{119716838629920} is an apocalyptic number.

119716838629920 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 119716838629920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251106085601280).

119716838629920 is an abundant number, since it is smaller than the sum of its proper divisors (382495332572640).

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

119716838629920 is a wasteful number, since it uses less digits than its factorization.

119716838629920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7678 (or 7667 counting only the distinct ones).

The product of its (nonzero) digits is 141087744, while the sum is 72.

The spelling of 119716838629920 in words is "one hundred nineteen trillion, seven hundred sixteen billion, eight hundred thirty-eight million, six hundred twenty-nine thousand, nine hundred twenty".