20179982246400 has 720 divisors, whose sum is σ = 76557443010048. Its totient is φ = 5058772992000.

The previous prime is 20179982246341. The next prime is 20179982246407. The reversal of 20179982246400 is 464228997102.

It is a happy number.

20179982246400 is a `hidden beast` number, since 2 + 0 + 1 + 7 + 9 + 9 + 8 + 224 + 6 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is not an unprimeable number, because it can be changed into a prime (20179982246407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1784096745 + ... + 1784108055.

Almost surely, 2^{20179982246400} is an apocalyptic number.

20179982246400 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 20179982246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38278721505024).

20179982246400 is an abundant number, since it is smaller than the sum of its proper divisors (56377460763648).

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

20179982246400 is a wasteful number, since it uses less digits than its factorization.

20179982246400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12273 (or 12249 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 20179982246400 in words is "twenty trillion, one hundred seventy-nine billion, nine hundred eighty-two million, two hundred forty-six thousand, four hundred".