117005783040 has 728 divisors, whose sum is σ = 446707062648. Its totient is φ = 29302456320.

The previous prime is 117005783039. The next prime is 117005783077. The reversal of 117005783040 is 40387500711.

117005783040 is a `hidden beast` number, since 1 + 17 + 0 + 0 + 578 + 30 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15912308736 + 101093474304 = 126144^2 + 317952^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 117005782986 and 117005783004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 253808410 + ... + 253808870.

Almost surely, 2^117005783040 is an apocalyptic number.

117005783040 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 117005783040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223353531324).

117005783040 is an abundant number, since it is smaller than the sum of its proper divisors (329701279608).

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

117005783040 is an frugal number, since it uses more digits than its factorization.

117005783040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 117005783040 in words is "one hundred seventeen billion, five million, seven hundred eighty-three thousand, forty".