20997906048000 has 4928 divisors, whose sum is σ = 99716439453696. Its totient is φ = 4299816960000.

The previous prime is 20997906047999. The next prime is 20997906048089. The reversal of 20997906048000 is 84060979902.

20997906048000 is a `hidden beast` number, since 2 + 0 + 99 + 79 + 0 + 6 + 0 + 480 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 344227967970 + ... + 344227968030.

Almost surely, 2^{20997906048000} is an apocalyptic number.

20997906048000 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 20997906048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49858219726848).

20997906048000 is an abundant number, since it is smaller than the sum of its proper divisors (78718533405696).

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

20997906048000 is an equidigital number, since it uses as much as digits as its factorization.

20997906048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 20997906048000 in words is "twenty trillion, nine hundred ninety-seven billion, nine hundred six million, forty-eight thousand".