21812429520640 has 576 divisors, whose sum is σ = 59221580544000. Its totient is φ = 7629235159040.

The previous prime is 21812429520601. The next prime is 21812429520643. The reversal of 21812429520640 is 4602592421812.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21812429520643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10542497526 + ... + 10542499594.

It is an arithmetic number, because the mean of its divisors is an integer number (102815244000).

Almost surely, 2^{21812429520640} is an apocalyptic number.

21812429520640 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 21812429520640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29610790272000).

21812429520640 is an abundant number, since it is smaller than the sum of its proper divisors (37409151023360).

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

21812429520640 is a wasteful number, since it uses less digits than its factorization.

21812429520640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2416 (or 2402 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 46.

The spelling of 21812429520640 in words is "twenty-one trillion, eight hundred twelve billion, four hundred twenty-nine million, five hundred twenty thousand, six hundred forty".