16538457600 has 360 divisors, whose sum is σ = 67645097520. Its totient is φ = 3780034560.

The previous prime is 16538457587. The next prime is 16538457629. The reversal of 16538457600 is 675483561.

16538457600 is a `hidden beast` number, since 1 + 6 + 5 + 38 + 4 + 5 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 796146 + ... + 816654.

Almost surely, 2^16538457600 is an apocalyptic number.

16538457600 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 16538457600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33822548760).

16538457600 is an abundant number, since it is smaller than the sum of its proper divisors (51106639920).

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

16538457600 is a wasteful number, since it uses less digits than its factorization.

16538457600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20550 (or 20526 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 16538457600 in words is "sixteen billion, five hundred thirty-eight million, four hundred fifty-seven thousand, six hundred".