21248926272 has 168 divisors, whose sum is σ = 70259057856. Its totient is φ = 6014260224.

The previous prime is 21248926267. The next prime is 21248926301. The reversal of 21248926272 is 27262984212.

21248926272 is a `hidden beast` number, since 2 + 12 + 4 + 8 + 9 + 2 + 627 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 406798 + ... + 456050.

Almost surely, 2^21248926272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21248926272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35129528928).

21248926272 is an abundant number, since it is smaller than the sum of its proper divisors (49010131584).

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

21248926272 is a wasteful number, since it uses less digits than its factorization.

21248926272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49385 (or 49372 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The spelling of 21248926272 in words is "twenty-one billion, two hundred forty-eight million, nine hundred twenty-six thousand, two hundred seventy-two".