16261372800 has 288 divisors, whose sum is σ = 58267755000. Its totient is φ = 4318187520.

The previous prime is 16261372789. The next prime is 16261372801. The reversal of 16261372800 is 827316261.

16261372800 is a `hidden beast` number, since 1 + 626 + 1 + 3 + 7 + 28 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16261372801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7746151 + ... + 7748249.

Almost surely, 2^16261372800 is an apocalyptic number.

16261372800 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 16261372800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29133877500).

16261372800 is an abundant number, since it is smaller than the sum of its proper divisors (42006382200).

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

16261372800 is a wasteful number, since it uses less digits than its factorization.

16261372800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2398 (or 2378 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 16261372800 in words is "sixteen billion, two hundred sixty-one million, three hundred seventy-two thousand, eight hundred".