16117385130 has 512 divisors, whose sum is σ = 55655424000. Its totient is φ = 3249227520.

The previous prime is 16117385099. The next prime is 16117385203. The reversal of 16117385130 is 3158371161.

16117385130 is a `hidden beast` number, since 1 + 611 + 7 + 3 + 8 + 5 + 1 + 30 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 108170296 + ... + 108170444.

It is an arithmetic number, because the mean of its divisors is an integer number (108702000).

Almost surely, 2^16117385130 is an apocalyptic number.

16117385130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16117385130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27827712000).

16117385130 is an abundant number, since it is smaller than the sum of its proper divisors (39538038870).

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

16117385130 is a wasteful number, since it uses less digits than its factorization.

16117385130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 16117385130 in words is "sixteen billion, one hundred seventeen million, three hundred eighty-five thousand, one hundred thirty".