119164560480 has 768 divisors, whose sum is σ = 494817361920. Its totient is φ = 26210304000.

The previous prime is 119164560479. The next prime is 119164560503. The reversal of 119164560480 is 84065461911.

119164560480 is a `hidden beast` number, since 1 + 1 + 9 + 1 + 6 + 4 + 560 + 4 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 127 ways as a sum of consecutive naturals, for example, 297168280 + ... + 297168680.

It is an arithmetic number, because the mean of its divisors is an integer number (644293440).

Almost surely, 2^119164560480 is an apocalyptic number.

119164560480 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 119164560480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247408680960).

119164560480 is an abundant number, since it is smaller than the sum of its proper divisors (375652801440).

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

119164560480 is a wasteful number, since it uses less digits than its factorization.

119164560480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 119164560480 in words is "one hundred nineteen billion, one hundred sixty-four million, five hundred sixty thousand, four hundred eighty".