20961553092480 has 2304 divisors, whose sum is σ = 100938390658560. Its totient is φ = 4019791380480.

The previous prime is 20961553092439. The next prime is 20961553092539. The reversal of 20961553092480 is 8429035516902.

20961553092480 is a `hidden beast` number, since 2 + 0 + 9 + 6 + 1 + 5 + 530 + 9 + 24 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4203236547 + ... + 4203241533.

It is an arithmetic number, because the mean of its divisors is an integer number (43810065390).

Almost surely, 2^{20961553092480} is an apocalyptic number.

20961553092480 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 20961553092480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50469195329280).

20961553092480 is an abundant number, since it is smaller than the sum of its proper divisors (79976837566080).

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

20961553092480 is an equidigital number, since it uses as much as digits as its factorization.

20961553092480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5061 (or 5028 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 20961553092480 in words is "twenty trillion, nine hundred sixty-one billion, five hundred fifty-three million, ninety-two thousand, four hundred eighty".