16472112800 has 288 divisors, whose sum is σ = 47632826304. Its totient is φ = 5483520000.

The previous prime is 16472112773. The next prime is 16472112829. The reversal of 16472112800 is 821127461.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15672275 + ... + 15673325.

It is an arithmetic number, because the mean of its divisors is an integer number (165391758).

Almost surely, 2^16472112800 is an apocalyptic number.

16472112800 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 16472112800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23816413152).

16472112800 is an abundant number, since it is smaller than the sum of its proper divisors (31160713504).

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

16472112800 is a wasteful number, since it uses less digits than its factorization.

16472112800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1232 (or 1219 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The spelling of 16472112800 in words is "sixteen billion, four hundred seventy-two million, one hundred twelve thousand, eight hundred".