21295066593000 has 256 divisors, whose sum is σ = 68045158621440. Its totient is φ = 5543147520000.

The previous prime is 21295066592993. The next prime is 21295066593013. The reversal of 21295066593000 is 39566059212.

It is a happy number.

It is a super-2 number, since 2×21295066593000² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20741775 + ... + 21744225.

It is an arithmetic number, because the mean of its divisors is an integer number (265801400865).

Almost surely, 2^{21295066593000} is an apocalyptic number.

21295066593000 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 21295066593000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34022579310720).

21295066593000 is an abundant number, since it is smaller than the sum of its proper divisors (46750092028440).

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

21295066593000 is a wasteful number, since it uses less digits than its factorization.

21295066593000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002645 (or 1002631 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 48.

The spelling of 21295066593000 in words is "twenty-one trillion, two hundred ninety-five billion, sixty-six million, five hundred ninety-three thousand".