21193146249600 has 768 divisors, whose sum is σ = 76936225766400. Its totient is φ = 5095880294400.

The previous prime is 21193146249593. The next prime is 21193146249629. The reversal of 21193146249600 is 694264139112.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 21193146249600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 965816229 + ... + 965838171.

It is an arithmetic number, because the mean of its divisors is an integer number (100177377300).

Almost surely, 2^{21193146249600} is an apocalyptic number.

21193146249600 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 21193146249600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38468112883200).

21193146249600 is an abundant number, since it is smaller than the sum of its proper divisors (55743079516800).

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

21193146249600 is a wasteful number, since it uses less digits than its factorization.

21193146249600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22163 (or 22146 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 48.

The spelling of 21193146249600 in words is "twenty-one trillion, one hundred ninety-three billion, one hundred forty-six million, two hundred forty-nine thousand, six hundred".