16750536400 has 270 divisors, whose sum is σ = 45033941862. Its totient is φ = 5984409600.

The previous prime is 16750536389. The next prime is 16750536409. The reversal of 16750536400 is 463505761.

It can be written as a sum of positive squares in 27 ways, for example, as 16740219456 + 10316944 = 129384^2 + 3212^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 16750536400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16750536409) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 92544310 + ... + 92544490.

Almost surely, 2^16750536400 is an apocalyptic number.

16750536400 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 16750536400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22516970931).

16750536400 is an abundant number, since it is smaller than the sum of its proper divisors (28283405462).

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

16750536400 is a wasteful number, since it uses less digits than its factorization.

16750536400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 37.

The spelling of 16750536400 in words is "sixteen billion, seven hundred fifty million, five hundred thirty-six thousand, four hundred".