21540565248000 has 768 divisors, whose sum is σ = 74649949920000. Its totient is φ = 5508005888000.

The previous prime is 21540565247989. The next prime is 21540565248061. The reversal of 21540565248000 is 84256504512.

It is a tau number, because it is divible by the number of its divisors (768).

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, 3318524755 + ... + 3318531245.

It is an arithmetic number, because the mean of its divisors is an integer number (97200455625).

Almost surely, 2^{21540565248000} is an apocalyptic number.

21540565248000 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 21540565248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37324974960000).

21540565248000 is an abundant number, since it is smaller than the sum of its proper divisors (53109384672000).

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

21540565248000 is a wasteful number, since it uses less digits than its factorization.

21540565248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6709 (or 6679 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 42.

The spelling of 21540565248000 in words is "twenty-one trillion, five hundred forty billion, five hundred sixty-five million, two hundred forty-eight thousand".