21415930200000 has 4536 divisors, whose sum is σ = 102449498218704. Its totient is φ = 4406814720000.

The previous prime is 21415930199947. The next prime is 21415930200037. The reversal of 21415930200000 is 203951412.

It is a tau number, because it is divible by the number of its divisors (4536).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 931127399989 + ... + 931127400011.

It is an arithmetic number, because the mean of its divisors is an integer number (22585868214).

Almost surely, 2^{21415930200000} is an apocalyptic number.

21415930200000 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 21415930200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51224749109352).

21415930200000 is an abundant number, since it is smaller than the sum of its proper divisors (81033568018704).

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

21415930200000 is an frugal number, since it uses more digits than its factorization.

21415930200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 21415930200000 in words is "twenty-one trillion, four hundred fifteen billion, nine hundred thirty million, two hundred thousand".