21049459200 has 1440 divisors, whose sum is σ = 98914115520. Its totient is φ = 4335206400.

The previous prime is 21049459159. The next prime is 21049459213. The reversal of 21049459200 is 295494012.

21049459200 is a `hidden beast` number, since 21 + 0 + 49 + 4 + 592 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×21049459200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 186278344 + ... + 186278456.

It is an arithmetic number, because the mean of its divisors is an integer number (68690358).

Almost surely, 2^21049459200 is an apocalyptic number.

21049459200 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 21049459200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49457057760).

21049459200 is an abundant number, since it is smaller than the sum of its proper divisors (77864656320).

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

21049459200 is a wasteful number, since it uses less digits than its factorization.

21049459200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

It can be divided in two parts, 21049 and 459200, that added together give a square (480249 = 693²).

The spelling of 21049459200 in words is "twenty-one billion, forty-nine million, four hundred fifty-nine thousand, two hundred".