211225190400 has 1680 divisors, whose sum is σ = 955711348416. Its totient is φ = 45015367680.

The previous prime is 211225190399. The next prime is 211225190443. The reversal of 211225190400 is 4091522112.

211225190400 is a `hidden beast` number, since 2 + 1 + 1 + 2 + 251 + 9 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1974067147 + ... + 1974067253.

Almost surely, 2^211225190400 is an apocalyptic number.

211225190400 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 211225190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477855674208).

211225190400 is an abundant number, since it is smaller than the sum of its proper divisors (744486158016).

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

211225190400 is a wasteful number, since it uses less digits than its factorization.

211225190400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 211225190400 in words is "two hundred eleven billion, two hundred twenty-five million, one hundred ninety thousand, four hundred".