16251202800000 has 3072 divisors, whose sum is σ = 72287873280000. Its totient is φ = 3590092800000.

The previous prime is 16251202799971. The next prime is 16251202800013. The reversal of 16251202800000 is 820215261.

It is a happy number.

16251202800000 is a `hidden beast` number, since 1 + 625 + 12 + 0 + 28 + 0 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 151880399947 + ... + 151880400053.

It is an arithmetic number, because the mean of its divisors is an integer number (23531208750).

Almost surely, 2^{16251202800000} is an apocalyptic number.

16251202800000 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 16251202800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36143936640000).

16251202800000 is an abundant number, since it is smaller than the sum of its proper divisors (56036670480000).

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

16251202800000 is an frugal number, since it uses more digits than its factorization.

16251202800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 16251202800000 in words is "sixteen trillion, two hundred fifty-one billion, two hundred two million, eight hundred thousand".