21057620400000 has 576 divisors, whose sum is σ = 75849389703360. Its totient is φ = 5607221760000.

The previous prime is 21057620399939. The next prime is 21057620400023. The reversal of 21057620400000 is 402675012.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2725196137 + ... + 2725203863.

It is an arithmetic number, because the mean of its divisors is an integer number (131682968235).

Almost surely, 2^{21057620400000} is an apocalyptic number.

21057620400000 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 21057620400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37924694851680).

21057620400000 is an abundant number, since it is smaller than the sum of its proper divisors (54791769303360).

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

21057620400000 is an frugal number, since it uses more digits than its factorization.

21057620400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8529 (or 8494 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 21057620400000 in words is "twenty-one trillion, fifty-seven billion, six hundred twenty million, four hundred thousand".