117837084960 has 1536 divisors, whose sum is σ = 533927116800. Its totient is φ = 23648993280.

The previous prime is 117837084919. The next prime is 117837085013. The reversal of 117837084960 is 69480738711.

117837084960 is a `hidden beast` number, since 1 + 1 + 7 + 83 + 70 + 8 + 496 + 0 = 666.

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 = 117837084897 and 117837084906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 488950440 + ... + 488950680.

It is an arithmetic number, because the mean of its divisors is an integer number (347608800).

Almost surely, 2^117837084960 is an apocalyptic number.

117837084960 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 117837084960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266963558400).

117837084960 is an abundant number, since it is smaller than the sum of its proper divisors (416090031840).

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

117837084960 is a wasteful number, since it uses less digits than its factorization.

117837084960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 117837084960 in words is "one hundred seventeen billion, eight hundred thirty-seven million, eighty-four thousand, nine hundred sixty".