119553208104960 has 3072 divisors, whose sum is σ = 516021011251200. Its totient is φ = 26005292974080.

The previous prime is 119553208104853. The next prime is 119553208104989. The reversal of 119553208104960 is 69401802355911.

119553208104960 is a `hidden beast` number, since 1 + 1 + 9 + 5 + 53 + 20 + 81 + 0 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 119553208104897 and 119553208104906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 354757293912 + ... + 354757294248.

It is an arithmetic number, because the mean of its divisors is an integer number (167975589600).

Almost surely, 2^{119553208104960} is an apocalyptic number.

119553208104960 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 119553208104960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258010505625600).

119553208104960 is an abundant number, since it is smaller than the sum of its proper divisors (396467803146240).

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

119553208104960 is an frugal number, since it uses more digits than its factorization.

119553208104960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 119553208104960 in words is "one hundred nineteen trillion, five hundred fifty-three billion, two hundred eight million, one hundred four thousand, nine hundred sixty".