16252992000 has 960 divisors, whose sum is σ = 69708038400. Its totient is φ = 3561062400.

The previous prime is 16252991987. The next prime is 16252992011. The reversal of 16252992000 is 29925261.

It is a happy number.

16252992000 is a `hidden beast` number, since 1 + 625 + 2 + 9 + 9 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 116927931 + ... + 116928069.

It is an arithmetic number, because the mean of its divisors is an integer number (72612540).

Almost surely, 2^16252992000 is an apocalyptic number.

16252992000 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 16252992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34854019200).

16252992000 is an abundant number, since it is smaller than the sum of its proper divisors (53455046400).

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

16252992000 is a wasteful number, since it uses less digits than its factorization.

16252992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 16252992000 in words is "sixteen billion, two hundred fifty-two million, nine hundred ninety-two thousand".