20478127104 has 528 divisors, whose sum is σ = 66952424448. Its totient is φ = 6226771968.

The previous prime is 20478127093. The next prime is 20478127129. The reversal of 20478127104 is 40172187402.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 198816717 + ... + 198816819.

Almost surely, 2^20478127104 is an apocalyptic number.

20478127104 is a gapful number since it is divisible by the number (24) 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 20478127104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33476212224).

20478127104 is an abundant number, since it is smaller than the sum of its proper divisors (46474297344).

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

20478127104 is a wasteful number, since it uses less digits than its factorization.

20478127104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The spelling of 20478127104 in words is "twenty billion, four hundred seventy-eight million, one hundred twenty-seven thousand, one hundred four".