16027681356900 has 216 divisors, whose sum is σ = 53196824247840. Its totient is φ = 4022348037120.

The previous prime is 16027681356893. The next prime is 16027681356919. The reversal of 16027681356900 is 965318672061.

16027681356900 is a `hidden beast` number, since 1 + 6 + 0 + 2 + 7 + 68 + 13 + 569 + 0 + 0 = 666.

16027681356900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×16027681356900² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 288514927 + ... + 288570473.

It is an arithmetic number, because the mean of its divisors is an integer number (246281593740).

Almost surely, 2^{16027681356900} is an apocalyptic number.

16027681356900 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 16027681356900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26598412123920).

16027681356900 is an abundant number, since it is smaller than the sum of its proper divisors (37169142890940).

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

16027681356900 is a wasteful number, since it uses less digits than its factorization.

16027681356900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74443 (or 74433 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 16027681356900 in words is "sixteen trillion, twenty-seven billion, six hundred eighty-one million, three hundred fifty-six thousand, nine hundred".