21307147200 has 840 divisors, whose sum is σ = 87462817200. Its totient is φ = 5056266240.

The previous prime is 21307147189. The next prime is 21307147201. The reversal of 21307147200 is 274170312.

It is a happy number.

It is a super-4 number, since 4×21307147200⁴ (a number of 42 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21307147201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 41860546 + ... + 41861054.

Almost surely, 2^21307147200 is an apocalyptic number.

21307147200 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 21307147200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43731408600).

21307147200 is an abundant number, since it is smaller than the sum of its proper divisors (66155670000).

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

21307147200 is a wasteful number, since it uses less digits than its factorization.

21307147200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The spelling of 21307147200 in words is "twenty-one billion, three hundred seven million, one hundred forty-seven thousand, two hundred".