16212735900 has 144 divisors (see below), whose sum is σ = 52163848800. Its totient is φ = 4319838720.

The previous prime is 16212735871. The next prime is 16212735919. The reversal of 16212735900 is 953721261.

16212735900 is a `hidden beast` number, since 1 + 62 + 1 + 2 + 7 + 3 + 590 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5811706 + ... + 5814494.

It is an arithmetic number, because the mean of its divisors is an integer number (362248950).

Almost surely, 2^16212735900 is an apocalyptic number.

16212735900 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 16212735900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26081924400).

16212735900 is an abundant number, since it is smaller than the sum of its proper divisors (35951112900).

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

16212735900 is a wasteful number, since it uses less digits than its factorization.

16212735900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4965 (or 4952 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 16212735900 in words is "sixteen billion, two hundred twelve million, seven hundred thirty-five thousand, nine hundred".