16485638400 has 1620 divisors, whose sum is σ = 78663871440. Its totient is φ = 3367526400.

The previous prime is 16485638359. The next prime is 16485638419. The reversal of 16485638400 is 483658461.

16485638400 is a `hidden beast` number, since 1 + 6 + 4 + 8 + 5 + 638 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1620).

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

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 279417571 + ... + 279417629.

Almost surely, 2^16485638400 is an apocalyptic number.

16485638400 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 16485638400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39331935720).

16485638400 is an abundant number, since it is smaller than the sum of its proper divisors (62178233040).

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

16485638400 is a wasteful number, since it uses less digits than its factorization.

16485638400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 16485638400 in words is "sixteen billion, four hundred eighty-five million, six hundred thirty-eight thousand, four hundred".