119980030584960 has 3072 divisors, whose sum is σ = 554886683366400. Its totient is φ = 23855384494080.

The previous prime is 119980030584959. The next prime is 119980030584961. The reversal of 119980030584960 is 69485030089911.

119980030584960 is a `hidden beast` number, since 1 + 1 + 9 + 98 + 0 + 0 + 3 + 0 + 58 + 496 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (119980030584959) and next prime (119980030584961).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (119980030584961) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 136807332042 + ... + 136807332918.

It is an arithmetic number, because the mean of its divisors is an integer number (180627175575).

Almost surely, 2^{119980030584960} is an apocalyptic number.

119980030584960 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 119980030584960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277443341683200).

119980030584960 is an abundant number, since it is smaller than the sum of its proper divisors (434906652781440).

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

119980030584960 is a wasteful number, since it uses less digits than its factorization.

119980030584960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1204 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 63.

The spelling of 119980030584960 in words is "one hundred nineteen trillion, nine hundred eighty billion, thirty million, five hundred eighty-four thousand, nine hundred sixty".