119538793785600 has 2160 divisors, whose sum is σ = 533203041571200. Its totient is φ = 25812756725760.

The previous prime is 119538793785599. The next prime is 119538793785611. The reversal of 119538793785600 is 6587397835911.

119538793785600 is a `hidden beast` number, since 1 + 1 + 9 + 5 + 3 + 8 + 7 + 9 + 3 + 7 + 8 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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 239 ways as a sum of consecutive naturals, for example, 26820458572 + ... + 26820463028.

Almost surely, 2^{119538793785600} is an apocalyptic number.

119538793785600 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 119538793785600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266601520785600).

119538793785600 is an abundant number, since it is smaller than the sum of its proper divisors (413664247785600).

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

119538793785600 is a wasteful number, since it uses less digits than its factorization.

119538793785600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4910 (or 4882 counting only the distinct ones).

The product of its (nonzero) digits is 342921600, while the sum is 72.

The spelling of 119538793785600 in words is "one hundred nineteen trillion, five hundred thirty-eight billion, seven hundred ninety-three million, seven hundred eighty-five thousand, six hundred".