21310698240 has 720 divisors, whose sum is σ = 83474817888. Its totient is φ = 5159780352.

The previous prime is 21310698239. The next prime is 21310698247. The reversal of 21310698240 is 4289601312.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 21310698195 and 21310698204.

It is not an unprimeable number, because it can be changed into a prime (21310698247) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 130740399 + ... + 130740561.

Almost surely, 2^21310698240 is an apocalyptic number.

21310698240 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 21310698240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41737408944).

21310698240 is an abundant number, since it is smaller than the sum of its proper divisors (62164119648).

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

21310698240 is a wasteful number, since it uses less digits than its factorization.

21310698240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 21310698240 in words is "twenty-one billion, three hundred ten million, six hundred ninety-eight thousand, two hundred forty".