21140275200 has 816 divisors, whose sum is σ = 84254535936. Its totient is φ = 4613734400.

The previous prime is 21140275199. The next prime is 21140275237. The reversal of 21140275200 is 257204112.

It is a tau number, because it is divible by the number of its divisors (816).

It is a super-2 number, since 2×21140275200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 919142389 + ... + 919142411.

Almost surely, 2^21140275200 is an apocalyptic number.

21140275200 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 21140275200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42127267968).

21140275200 is an abundant number, since it is smaller than the sum of its proper divisors (63114260736).

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

21140275200 is a wasteful number, since it uses less digits than its factorization.

21140275200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

Adding to 21140275200 its reverse (257204112), we get a palindrome (21397479312).

The spelling of 21140275200 in words is "twenty-one billion, one hundred forty million, two hundred seventy-five thousand, two hundred".