20460211200 has 1584 divisors, whose sum is σ = 93132539136. Its totient is φ = 4379443200.

The previous prime is 20460211183. The next prime is 20460211243. The reversal of 20460211200 is 211206402.

20460211200 is a `hidden beast` number, since 2 + 0 + 460 + 2 + 1 + 1 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 889574389 + ... + 889574411.

Almost surely, 2^20460211200 is an apocalyptic number.

20460211200 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 20460211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46566269568).

20460211200 is an abundant number, since it is smaller than the sum of its proper divisors (72672327936).

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

20460211200 is a wasteful number, since it uses less digits than its factorization.

20460211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 20460211200 its reverse (211206402), we get a palindrome (20671417602).

The spelling of 20460211200 in words is "twenty billion, four hundred sixty million, two hundred eleven thousand, two hundred".