118675068019200 has 3840 divisors, whose sum is σ = 567640982937600. Its totient is φ = 23562466099200.

The previous prime is 118675068019187. The next prime is 118675068019223. The reversal of 118675068019200 is 2910860576811.

It is a happy number.

118675068019200 is a `hidden beast` number, since 118 + 6 + 7 + 506 + 8 + 0 + 19 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-2 number, since 2×118675068019200² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 79487653654 + ... + 79487655146.

It is an arithmetic number, because the mean of its divisors is an integer number (147823172640).

Almost surely, 2^{118675068019200} is an apocalyptic number.

118675068019200 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 118675068019200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283820491468800).

118675068019200 is an abundant number, since it is smaller than the sum of its proper divisors (448965914918400).

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

118675068019200 is a wasteful number, since it uses less digits than its factorization.

118675068019200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1680 (or 1653 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 118675068019200 in words is "one hundred eighteen trillion, six hundred seventy-five billion, sixty-eight million, nineteen thousand, two hundred".