16264104120 has 576 divisors, whose sum is σ = 62992650240. Its totient is φ = 3604953600.

The previous prime is 16264104113. The next prime is 16264104121. The reversal of 16264104120 is 2140146261.

16264104120 is a `hidden beast` number, since 1 + 6 + 2 + 641 + 0 + 4 + 12 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16264104121) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 44316177 + ... + 44316543.

It is an arithmetic number, because the mean of its divisors is an integer number (109362240).

Almost surely, 2^16264104120 is an apocalyptic number.

16264104120 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 16264104120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31496325120).

16264104120 is an abundant number, since it is smaller than the sum of its proper divisors (46728546120).

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

16264104120 is a wasteful number, since it uses less digits than its factorization.

16264104120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 16264104120 in words is "sixteen billion, two hundred sixty-four million, one hundred four thousand, one hundred twenty".