21649270228992 has 576 divisors, whose sum is σ = 74981114208000. Its totient is φ = 6153955540992.

The previous prime is 21649270228909. The next prime is 21649270228997. The reversal of 21649270228992 is 29982207294612.

21649270228992 is a `hidden beast` number, since 2 + 16 + 49 + 270 + 228 + 9 + 92 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (21649270228997) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 533752009 + ... + 533792567.

It is an arithmetic number, because the mean of its divisors is an integer number (130175545500).

Almost surely, 2^{21649270228992} 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 21649270228992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37490557104000).

21649270228992 is an abundant number, since it is smaller than the sum of its proper divisors (53331843979008).

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

21649270228992 is a wasteful number, since it uses less digits than its factorization.

21649270228992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40801 (or 40768 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 21649270228992 in words is "twenty-one trillion, six hundred forty-nine billion, two hundred seventy million, two hundred twenty-eight thousand, nine hundred ninety-two".