118607871682560 has 1536 divisors, whose sum is σ = 436454152243200. Its totient is φ = 27256805130240.

The previous prime is 118607871682543. The next prime is 118607871682591. The reversal of 118607871682560 is 65286178706811.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a junction number, because it is equal to n+sod(n) for n = 118607871682491 and 118607871682500.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 281728911150 + ... + 281728911570.

It is an arithmetic number, because the mean of its divisors is an integer number (284149838700).

Almost surely, 2^{118607871682560} is an apocalyptic number.

118607871682560 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 118607871682560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218227076121600).

118607871682560 is an abundant number, since it is smaller than the sum of its proper divisors (317846280560640).

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

118607871682560 is a wasteful number, since it uses less digits than its factorization.

118607871682560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 66.

The spelling of 118607871682560 in words is "one hundred eighteen trillion, six hundred seven billion, eight hundred seventy-one million, six hundred eighty-two thousand, five hundred sixty".