212593928400 has 900 divisors, whose sum is σ = 939879322668. Its totient is φ = 45728686080.

The previous prime is 212593928389. The next prime is 212593928411. The reversal of 212593928400 is 4829395212.

212593928400 is a `hidden beast` number, since 2 + 1 + 259 + 392 + 8 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (212593928389) and next prime (212593928411).

It can be written as a sum of positive squares in 6 ways, for example, as 7297943184 + 205295985216 = 85428^2 + 453096^2 .

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 26985262 + ... + 26993138.

Almost surely, 2^212593928400 is an apocalyptic number.

212593928400 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 212593928400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469939661334).

212593928400 is an abundant number, since it is smaller than the sum of its proper divisors (727285394268).

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

212593928400 is a wasteful number, since it uses less digits than its factorization.

212593928400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7938 (or 7911 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 212593928400 in words is "two hundred twelve billion, five hundred ninety-three million, nine hundred twenty-eight thousand, four hundred".