20447849822400 has 7560 divisors, whose sum is σ = 109209160478880. Its totient is φ = 3709388390400.

The previous prime is 20447849822383. The next prime is 20447849822401. The reversal of 20447849822400 is 422894874402.

20447849822400 is a `hidden beast` number, since 2 + 0 + 44 + 78 + 498 + 2 + 2 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7560).

It is a super-2 number, since 2×20447849822400² (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (20447849822401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 1079 ways as a sum of consecutive naturals, for example, 229751121556 + ... + 229751121644.

It is an arithmetic number, because the mean of its divisors is an integer number (14445656148).

Almost surely, 2^{20447849822400} is an apocalyptic number.

20447849822400 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 20447849822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54604580239440).

20447849822400 is an abundant number, since it is smaller than the sum of its proper divisors (88761310656480).

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

20447849822400 is a wasteful number, since it uses less digits than its factorization.

20447849822400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 20447849822400 in words is "twenty trillion, four hundred forty-seven billion, eight hundred forty-nine million, eight hundred twenty-two thousand, four hundred".