16930149120 has 864 divisors, whose sum is σ = 67285209600. Its totient is φ = 4021788672.

The previous prime is 16930149113. The next prime is 16930149149. The reversal of 16930149120 is 2194103961.

It is a happy number.

16930149120 is a `hidden beast` number, since 169 + 3 + 0 + 1 + 491 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 95 ways as a sum of consecutive naturals, for example, 286951651 + ... + 286951709.

It is an arithmetic number, because the mean of its divisors is an integer number (77876400).

Almost surely, 2^16930149120 is an apocalyptic number.

16930149120 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 16930149120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33642604800).

16930149120 is an abundant number, since it is smaller than the sum of its proper divisors (50355060480).

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

16930149120 is a wasteful number, since it uses less digits than its factorization.

16930149120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 16930149120 in words is "sixteen billion, nine hundred thirty million, one hundred forty-nine thousand, one hundred twenty".