21236248535040 has 2688 divisors, whose sum is σ = 96384004254720. Its totient is φ = 4393457418240.

The previous prime is 21236248535027. The next prime is 21236248535071. The reversal of 21236248535040 is 4053584263212.

21236248535040 is a `hidden beast` number, since 2 + 1 + 2 + 3 + 62 + 4 + 85 + 3 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a super-2 number, since 2×21236248535040² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 92734709646 + ... + 92734709874.

It is an arithmetic number, because the mean of its divisors is an integer number (35857144440).

Almost surely, 2^{21236248535040} is an apocalyptic number.

21236248535040 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 21236248535040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48192002127360).

21236248535040 is an abundant number, since it is smaller than the sum of its proper divisors (75147755719680).

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

21236248535040 is an frugal number, since it uses more digits than its factorization.

21236248535040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 21236248535040 in words is "twenty-one trillion, two hundred thirty-six billion, two hundred forty-eight million, five hundred thirty-five thousand, forty".