188130263040 has 420 divisors, whose sum is σ = 676004041944. Its totient is φ = 50054823936.

The previous prime is 188130263039. The next prime is 188130263047. The reversal of 188130263040 is 40362031881.

188130263040 is a `hidden beast` number, since 1 + 8 + 8 + 13 + 0 + 2 + 630 + 4 + 0 = 666.

188130263040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 188130262986 and 188130263004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (188130263047) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 424673059 + ... + 424673501.

Almost surely, 2^188130263040 is an apocalyptic number.

188130263040 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 188130263040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338002020972).

188130263040 is an abundant number, since it is smaller than the sum of its proper divisors (487873778904).

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

188130263040 is an frugal number, since it uses more digits than its factorization.

188130263040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 188130263040 in words is "one hundred eighty-eight billion, one hundred thirty million, two hundred sixty-three thousand, forty".