119870782433280 has 2688 divisors, whose sum is σ = 475140320928000. Its totient is φ = 28894769971200.

The previous prime is 119870782433239. The next prime is 119870782433287. The reversal of 119870782433280 is 82334287078911.

119870782433280 is a `hidden beast` number, since 1 + 1 + 98 + 70 + 78 + 2 + 4 + 332 + 80 = 666.

It is not an unprimeable number, because it can be changed into a prime (119870782433287) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 621092136864 + ... + 621092137056.

It is an arithmetic number, because the mean of its divisors is an integer number (176763512250).

Almost surely, 2^{119870782433280} is an apocalyptic number.

119870782433280 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 119870782433280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237570160464000).

119870782433280 is an abundant number, since it is smaller than the sum of its proper divisors (355269538494720).

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

119870782433280 is a wasteful number, since it uses less digits than its factorization.

119870782433280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 119870782433280 in words is "one hundred nineteen trillion, eight hundred seventy billion, seven hundred eighty-two million, four hundred thirty-three thousand, two hundred eighty".