20997550080000 has 2560 divisors, whose sum is σ = 88050854707200. Its totient is φ = 4904976384000.

The previous prime is 20997550079963. The next prime is 20997550080037. The reversal of 20997550080000 is 8005579902.

It is a happy number.

20997550080000 is a `hidden beast` number, since 2 + 0 + 9 + 97 + 550 + 0 + 8 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (20997550079963) and next prime (20997550080037).

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 165335039937 + ... + 165335040063.

It is an arithmetic number, because the mean of its divisors is an integer number (34394865120).

Almost surely, 2^{20997550080000} is an apocalyptic number.

20997550080000 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 20997550080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44025427353600).

20997550080000 is an abundant number, since it is smaller than the sum of its proper divisors (67053304627200).

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

20997550080000 is an equidigital number, since it uses as much as digits as its factorization.

20997550080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 20997550080000 in words is "twenty trillion, nine hundred ninety-seven billion, five hundred fifty million, eighty thousand".