21248136000 has 1792 divisors, whose sum is σ = 102248939520. Its totient is φ = 4196966400.

The previous prime is 21248135981. The next prime is 21248136011. The reversal of 21248136000 is 63184212.

21248136000 is a `hidden beast` number, since 2 + 1 + 2 + 48 + 13 + 600 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 452087977 + ... + 452088023.

It is an arithmetic number, because the mean of its divisors is an integer number (57058560).

Almost surely, 2^21248136000 is an apocalyptic number.

21248136000 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 21248136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51124469760).

21248136000 is an abundant number, since it is smaller than the sum of its proper divisors (81000803520).

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

21248136000 is a wasteful number, since it uses less digits than its factorization.

21248136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 21248136000 in words is "twenty-one billion, two hundred forty-eight million, one hundred thirty-six thousand".