16556361460100 has 288 divisors, whose sum is σ = 47436310381824. Its totient is φ = 4855950950400.

The previous prime is 16556361460021. The next prime is 16556361460127. The reversal of 16556361460100 is 106416365561.

It is a super-2 number, since 2×16556361460100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

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 95 ways as a sum of consecutive naturals, for example, 1031091272 + ... + 1031107328.

It is an arithmetic number, because the mean of its divisors is an integer number (164709411048).

Almost surely, 2^{16556361460100} is an apocalyptic number.

16556361460100 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 16556361460100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23718155190912).

16556361460100 is an abundant number, since it is smaller than the sum of its proper divisors (30879948921724).

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

16556361460100 is a wasteful number, since it uses less digits than its factorization.

16556361460100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23983 (or 23976 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 44.

The spelling of 16556361460100 in words is "sixteen trillion, five hundred fifty-six billion, three hundred sixty-one million, four hundred sixty thousand, one hundred".