20467128729600 has 2268 divisors, whose sum is σ = 92128313191824. Its totient is φ = 4403012567040.

The previous prime is 20467128729529. The next prime is 20467128729629. The reversal of 20467128729600 is 692782176402.

20467128729600 is a `hidden beast` number, since 2 + 0 + 4 + 6 + 7 + 1 + 2 + 8 + 7 + 29 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2268).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1203948748792 + ... + 1203948748808.

Almost surely, 2^{20467128729600} is an apocalyptic number.

20467128729600 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 20467128729600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46064156595912).

20467128729600 is an abundant number, since it is smaller than the sum of its proper divisors (71661184462224).

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

20467128729600 is an frugal number, since it uses more digits than its factorization.

20467128729600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 20467128729600 in words is "twenty trillion, four hundred sixty-seven billion, one hundred twenty-eight million, seven hundred twenty-nine thousand, six hundred".