21597498248040 has 2560 divisors, whose sum is σ = 89859933757440. Its totient is φ = 4583087308800.

The previous prime is 21597498248009. The next prime is 21597498248077. The reversal of 21597498248040 is 4084289479512.

21597498248040 is a `hidden beast` number, since 2 + 1 + 5 + 9 + 7 + 498 + 24 + 80 + 40 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 164866398775 + ... + 164866398905.

It is an arithmetic number, because the mean of its divisors is an integer number (35101536624).

Almost surely, 2^{21597498248040} is an apocalyptic number.

21597498248040 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 21597498248040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44929966878720).

21597498248040 is an abundant number, since it is smaller than the sum of its proper divisors (68262435509400).

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

21597498248040 is a wasteful number, since it uses less digits than its factorization.

21597498248040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 21597498248040 in words is "twenty-one trillion, five hundred ninety-seven billion, four hundred ninety-eight million, two hundred forty-eight thousand, forty".