21645697598304 has 384 divisors, whose sum is σ = 68903404738560. Its totient is φ = 5877287092224.

The previous prime is 21645697598297. The next prime is 21645697598341. The reversal of 21645697598304 is 40389579654612.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38824297 + ... + 39377879.

It is an arithmetic number, because the mean of its divisors is an integer number (179435949840).

It is a 1-persistent number, because it is pandigital, but 2⋅21645697598304 = 43291395196608 is not.

Almost surely, 2^{21645697598304} is an apocalyptic number.

21645697598304 is a gapful number since it is divisible by the number (24) 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 21645697598304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34451702369280).

21645697598304 is an abundant number, since it is smaller than the sum of its proper divisors (47257707140256).

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

21645697598304 is a wasteful number, since it uses less digits than its factorization.

21645697598304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553742 (or 553734 counting only the distinct ones).

The product of its (nonzero) digits is 391910400, while the sum is 69.

The spelling of 21645697598304 in words is "twenty-one trillion, six hundred forty-five billion, six hundred ninety-seven million, five hundred ninety-eight thousand, three hundred four".