20139048288000 has 432 divisors, whose sum is σ = 73339343060256. Its totient is φ = 5305702809600.

The previous prime is 20139048287983. The next prime is 20139048288001. The reversal of 20139048288000 is 88284093102.

20139048288000 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 90 + 482 + 8 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20139048288001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23482752 + ... + 24325248.

Almost surely, 2^{20139048288000} is an apocalyptic number.

20139048288000 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 20139048288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36669671530128).

20139048288000 is an abundant number, since it is smaller than the sum of its proper divisors (53200294772256).

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

20139048288000 is an equidigital number, since it uses as much as digits as its factorization.

20139048288000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842617 (or 842590 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 20139048288000 in words is "twenty trillion, one hundred thirty-nine billion, forty-eight million, two hundred eighty-eight thousand".