16552579012200 has 288 divisors, whose sum is σ = 69305863872960. Its totient is φ = 3439496908800.

The previous prime is 16552579012187. The next prime is 16552579012201. The reversal of 16552579012200 is 221097525561.

16552579012200 is a `hidden beast` number, since 1 + 6 + 5 + 52 + 579 + 0 + 1 + 2 + 20 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (16552579012201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 59574889 + ... + 59852088.

It is an arithmetic number, because the mean of its divisors is an integer number (240645360670).

Almost surely, 2^{16552579012200} is an apocalyptic number.

16552579012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16552579012200 is an abundant number, since it is smaller than the sum of its proper divisors (52753284860760).

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

16552579012200 is a wasteful number, since it uses less digits than its factorization.

16552579012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119427017 (or 119427005 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 16552579012200 in words is "sixteen trillion, five hundred fifty-two billion, five hundred seventy-nine million, twelve thousand, two hundred".