118072477600 has 864 divisors, whose sum is σ = 385922299392. Its totient is φ = 35126784000.

The previous prime is 118072477597. The next prime is 118072477643. The reversal of 118072477600 is 6774270811.

It is a super-2 number, since 2×118072477600² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1617431164 + ... + 1617431236.

It is an arithmetic number, because the mean of its divisors is an integer number (446669328).

Almost surely, 2^118072477600 is an apocalyptic number.

118072477600 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 118072477600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192961149696).

118072477600 is an abundant number, since it is smaller than the sum of its proper divisors (267849821792).

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

118072477600 is a wasteful number, since it uses less digits than its factorization.

118072477600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 43.

The spelling of 118072477600 in words is "one hundred eighteen billion, seventy-two million, four hundred seventy-seven thousand, six hundred".