16850534400 has 540 divisors, whose sum is σ = 69089088432. Its totient is φ = 3845652480.

The previous prime is 16850534377. The next prime is 16850534401. The reversal of 16850534400 is 443505861.

It is a happy number.

16850534400 is a `hidden beast` number, since 1 + 6 + 85 + 0 + 534 + 40 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (16850534401) 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, 25804474 + ... + 25805126.

Almost surely, 2^16850534400 is an apocalyptic number.

16850534400 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 16850534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34544544216).

16850534400 is an abundant number, since it is smaller than the sum of its proper divisors (52238554032).

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

16850534400 is an equidigital number, since it uses as much as digits as its factorization.

16850534400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 16850534400 in words is "sixteen billion, eight hundred fifty million, five hundred thirty-four thousand, four hundred".