117120576640 has 128 divisors (see below), whose sum is σ = 284555067120. Its totient is φ = 46090813440.

The previous prime is 117120576619. The next prime is 117120576649. The reversal of 117120576640 is 46675021711.

It can be written as a sum of positive squares in 8 ways, for example, as 6050350656 + 111070225984 = 77784^2 + 333272^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×117120576640² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 117120576593 and 117120576602.

It is not an unprimeable number, because it can be changed into a prime (117120576649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9901930 + ... + 9913750.

Almost surely, 2^117120576640 is an apocalyptic number.

117120576640 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 117120576640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142277533560).

117120576640 is an abundant number, since it is smaller than the sum of its proper divisors (167434490480).

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

117120576640 is a wasteful number, since it uses less digits than its factorization.

117120576640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12090 (or 12078 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 40.

The spelling of 117120576640 in words is "one hundred seventeen billion, one hundred twenty million, five hundred seventy-six thousand, six hundred forty".