117891524520 has 2160 divisors, whose sum is σ = 566176523220. Its totient is φ = 21842472960.

The previous prime is 117891524489. The next prime is 117891524533. The reversal of 117891524520 is 25425198711.

117891524520 is a `hidden beast` number, since 1 + 1 + 78 + 9 + 1 + 52 + 4 + 520 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 117198044964 + 693479556 = 342342^2 + 26334^2 .

It is a super-2 number, since 2×117891524520² (a number of 23 digits) contains 22 as substring.

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 539 ways as a sum of consecutive naturals, for example, 6204817071 + ... + 6204817089.

Almost surely, 2^117891524520 is an apocalyptic number.

117891524520 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 117891524520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283088261610).

117891524520 is an abundant number, since it is smaller than the sum of its proper divisors (448284998700).

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

117891524520 is a wasteful number, since it uses less digits than its factorization.

117891524520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

It can be divided in two parts, 117891 and 524520, that added together give a triangular number (642411 = T₁₁₃₃).

The spelling of 117891524520 in words is "one hundred seventeen billion, eight hundred ninety-one million, five hundred twenty-four thousand, five hundred twenty".