16138828800 has 660 divisors, whose sum is σ = 61487802376. Its totient is φ = 4180377600.

The previous prime is 16138828781. The next prime is 16138828819. The reversal of 16138828800 is 882883161.

16138828800 is a `hidden beast` number, since 1 + 613 + 8 + 8 + 28 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (16138828781) and next prime (16138828819).

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 59 ways as a sum of consecutive naturals, for example, 89164710 + ... + 89164890.

Almost surely, 2^16138828800 is an apocalyptic number.

16138828800 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 16138828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30743901188).

16138828800 is an abundant number, since it is smaller than the sum of its proper divisors (45348973576).

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

16138828800 is a wasteful number, since it uses less digits than its factorization.

16138828800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 16138828800 in words is "sixteen billion, one hundred thirty-eight million, eight hundred twenty-eight thousand, eight hundred".