117283541760 has 1728 divisors, whose sum is σ = 539977052160. Its totient is φ = 23668899840.

The previous prime is 117283541717. The next prime is 117283541777. The reversal of 117283541760 is 67145382711.

117283541760 is a `hidden beast` number, since 1 + 17 + 28 + 3 + 541 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1413054679 + ... + 1413054761.

It is an arithmetic number, because the mean of its divisors is an integer number (312486720).

Almost surely, 2^117283541760 is an apocalyptic number.

117283541760 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 117283541760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269988526080).

117283541760 is an abundant number, since it is smaller than the sum of its proper divisors (422693510400).

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

117283541760 is an equidigital number, since it uses as much as digits as its factorization.

117283541760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 117283541760 in words is "one hundred seventeen billion, two hundred eighty-three million, five hundred forty-one thousand, seven hundred sixty".