21140253200 has 120 divisors (see below), whose sum is σ = 55457849280. Its totient is φ = 7680268800.

The previous prime is 21140253179. The next prime is 21140253203. The reversal of 21140253200 is 235204112.

It is a super-2 number, since 2×21140253200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (21140253203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8266322 + ... + 8268878.

It is an arithmetic number, because the mean of its divisors is an integer number (462148744).

Almost surely, 2^21140253200 is an apocalyptic number.

21140253200 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 21140253200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27728924640).

21140253200 is an abundant number, since it is smaller than the sum of its proper divisors (34317596080).

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

21140253200 is a wasteful number, since it uses less digits than its factorization.

21140253200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4465 (or 4454 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 21140253200 its reverse (235204112), we get a palindrome (21375457312).

The spelling of 21140253200 in words is "twenty-one billion, one hundred forty million, two hundred fifty-three thousand, two hundred".