212654613400 has 96 divisors (see below), whose sum is σ = 504192729600. Its totient is φ = 83394281600.

The previous prime is 212654613361. The next prime is 212654613403. The reversal of 212654613400 is 4316456212.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212654613403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2499969 + ... + 2583631.

It is an arithmetic number, because the mean of its divisors is an integer number (5252007600).

Almost surely, 2^212654613400 is an apocalyptic number.

212654613400 is a gapful number since it is divisible by the number (20) 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 212654613400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252096364800).

212654613400 is an abundant number, since it is smaller than the sum of its proper divisors (291538116200).

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

212654613400 is a wasteful number, since it uses less digits than its factorization.

212654613400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83929 (or 83920 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The spelling of 212654613400 in words is "two hundred twelve billion, six hundred fifty-four million, six hundred thirteen thousand, four hundred".