16891512422400 has 4896 divisors, whose sum is σ = 85190697446400. Its totient is φ = 3210529996800.

The previous prime is 16891512422399. The next prime is 16891512422459. The reversal of 16891512422400 is 422421519861.

16891512422400 is a `hidden beast` number, since 1 + 6 + 8 + 91 + 512 + 4 + 2 + 2 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 582465945586 + ... + 582465945614.

Almost surely, 2^{16891512422400} is an apocalyptic number.

16891512422400 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 16891512422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42595348723200).

16891512422400 is an abundant number, since it is smaller than the sum of its proper divisors (68299185024000).

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

16891512422400 is an equidigital number, since it uses as much as digits as its factorization.

16891512422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 16891512422400 in words is "sixteen trillion, eight hundred ninety-one billion, five hundred twelve million, four hundred twenty-two thousand, four hundred".