15666201600 has 792 divisors, whose sum is σ = 63197080128. Its totient is φ = 3406233600.

The previous prime is 15666201599. The next prime is 15666201659. The reversal of 15666201600 is 610266651.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 86553510 + ... + 86553690.

Almost surely, 2^15666201600 is an apocalyptic number.

15666201600 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 15666201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31598540064).

15666201600 is an abundant number, since it is smaller than the sum of its proper divisors (47530878528).

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

15666201600 is a wasteful number, since it uses less digits than its factorization.

15666201600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The spelling of 15666201600 in words is "fifteen billion, six hundred sixty-six million, two hundred one thousand, six hundred".