16354585082880 has 1408 divisors, whose sum is σ = 67459519733760. Its totient is φ = 3713484718080.

The previous prime is 16354585082861. The next prime is 16354585082893. The reversal of 16354585082880 is 8828058545361.

It is a happy number.

16354585082880 is a `hidden beast` number, since 1 + 6 + 3 + 5 + 45 + 8 + 508 + 2 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a super-2 number, since 2×16354585082880² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5764744822 + ... + 5764747658.

It is an arithmetic number, because the mean of its divisors is an integer number (47911590720).

Almost surely, 2^{16354585082880} is an apocalyptic number.

16354585082880 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 16354585082880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33729759866880).

16354585082880 is an abundant number, since it is smaller than the sum of its proper divisors (51104934650880).

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

16354585082880 is a wasteful number, since it uses less digits than its factorization.

16354585082880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3122 (or 3098 counting only the distinct ones).

The product of its (nonzero) digits is 73728000, while the sum is 63.

The spelling of 16354585082880 in words is "sixteen trillion, three hundred fifty-four billion, five hundred eighty-five million, eighty-two thousand, eight hundred eighty".