211604358400 has 216 divisors, whose sum is σ = 555776162424. Its totient is φ = 79488614400.

The previous prime is 211604358379. The next prime is 211604358419. The reversal of 211604358400 is 4853406112.

211604358400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 43858411776 + 167745946624 = 209424^2 + 409568^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56682934 + ... + 56686666.

It is an arithmetic number, because the mean of its divisors is an integer number (2573037789).

Almost surely, 2^211604358400 is an apocalyptic number.

211604358400 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 211604358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277888081212).

211604358400 is an abundant number, since it is smaller than the sum of its proper divisors (344171804024).

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

211604358400 is a wasteful number, since it uses less digits than its factorization.

211604358400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4297 (or 4278 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The spelling of 211604358400 in words is "two hundred eleven billion, six hundred four million, three hundred fifty-eight thousand, four hundred".