117526003920 has 400 divisors, whose sum is σ = 440329890000. Its totient is φ = 28880437248.

The previous prime is 117526003913. The next prime is 117526003937. The reversal of 117526003920 is 29300625711.

117526003920 is a `hidden beast` number, since 1 + 1 + 7 + 5 + 260 + 0 + 392 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 37316966976 + 80209036944 = 193176^2 + 283212^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 94095456 + ... + 94096704.

It is an arithmetic number, because the mean of its divisors is an integer number (1100824725).

Almost surely, 2^117526003920 is an apocalyptic number.

117526003920 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 117526003920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220164945000).

117526003920 is an abundant number, since it is smaller than the sum of its proper divisors (322803886080).

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

117526003920 is a wasteful number, since it uses less digits than its factorization.

117526003920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2404 (or 2389 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 117526003920 in words is "one hundred seventeen billion, five hundred twenty-six million, three thousand, nine hundred twenty".