211125464400 has 120 divisors (see below), whose sum is σ = 676851520000. Its totient is φ = 56254648320.

The previous prime is 211125464399. The next prime is 211125464471. The reversal of 211125464400 is 4464521112.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 1428369 + ... + 1569231.

Almost surely, 2^211125464400 is an apocalyptic number.

211125464400 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 211125464400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338425760000).

211125464400 is an abundant number, since it is smaller than the sum of its proper divisors (465726055600).

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

211125464400 is a wasteful number, since it uses less digits than its factorization.

211125464400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142133 (or 142122 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 211125464400 its reverse (4464521112), we get a palindrome (215589985512).

The spelling of 211125464400 in words is "two hundred eleven billion, one hundred twenty-five million, four hundred sixty-four thousand, four hundred".