117272547840 has 1280 divisors, whose sum is σ = 483654758400. Its totient is φ = 23633068032.

The previous prime is 117272547781. The next prime is 117272547841. The reversal of 117272547840 is 48745272711.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 117272547840.

It is not an unprimeable number, because it can be changed into a prime (117272547841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1096005067 + ... + 1096005173.

It is an arithmetic number, because the mean of its divisors is an integer number (377855280).

Almost surely, 2^117272547840 is an apocalyptic number.

117272547840 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 117272547840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241827379200).

117272547840 is an abundant number, since it is smaller than the sum of its proper divisors (366382210560).

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

117272547840 is a wasteful number, since it uses less digits than its factorization.

117272547840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 878080, while the sum is 48.

The spelling of 117272547840 in words is "one hundred seventeen billion, two hundred seventy-two million, five hundred forty-seven thousand, eight hundred forty".