16254268800 has 576 divisors, whose sum is σ = 67287360000. Its totient is φ = 3375820800.

The previous prime is 16254268787. The next prime is 16254268819. The reversal of 16254268800 is 886245261.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8130201 + ... + 8132199.

Almost surely, 2^16254268800 is an apocalyptic number.

16254268800 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 16254268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33643680000).

16254268800 is an abundant number, since it is smaller than the sum of its proper divisors (51033091200).

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

16254268800 is a wasteful number, since it uses less digits than its factorization.

16254268800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2055 (or 2027 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 16254268800 in words is "sixteen billion, two hundred fifty-four million, two hundred sixty-eight thousand, eight hundred".