16797251750400 has 3600 divisors, whose sum is σ = 74716310037600. Its totient is φ = 3724716441600.

The previous prime is 16797251750309. The next prime is 16797251750417. The reversal of 16797251750400 is 405715279761.

16797251750400 is a `hidden beast` number, since 1 + 6 + 7 + 9 + 72 + 517 + 50 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3600).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 579215577586 + ... + 579215577614.

It is an arithmetic number, because the mean of its divisors is an integer number (20754530566).

Almost surely, 2^{16797251750400} is an apocalyptic number.

16797251750400 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 16797251750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37358155018800).

16797251750400 is an abundant number, since it is smaller than the sum of its proper divisors (57919058287200).

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

16797251750400 is an frugal number, since it uses more digits than its factorization.

16797251750400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 3704400, while the sum is 54.

The spelling of 16797251750400 in words is "sixteen trillion, seven hundred ninety-seven billion, two hundred fifty-one million, seven hundred fifty thousand, four hundred".