16400899906560 has 1760 divisors, whose sum is σ = 68933471745600. Its totient is φ = 3692109496320.

The previous prime is 16400899906439. The next prime is 16400899906577. The reversal of 16400899906560 is 6560999800461.

16400899906560 is a `hidden beast` number, since 1 + 6 + 400 + 8 + 99 + 90 + 6 + 56 + 0 = 666.

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 159 ways as a sum of consecutive naturals, for example, 2970636600 + ... + 2970642120.

It is an arithmetic number, because the mean of its divisors is an integer number (39166745310).

Almost surely, 2^{16400899906560} is an apocalyptic number.

16400899906560 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 16400899906560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34466735872800).

16400899906560 is an abundant number, since it is smaller than the sum of its proper divisors (52532571839040).

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

16400899906560 is a wasteful number, since it uses less digits than its factorization.

16400899906560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5619 (or 5592 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The spelling of 16400899906560 in words is "sixteen trillion, four hundred billion, eight hundred ninety-nine million, nine hundred six thousand, five hundred sixty".