20138472834480 has 1920 divisors, whose sum is σ = 95553244200960. Its totient is φ = 3831943127040.

The previous prime is 20138472834461. The next prime is 20138472834533. The reversal of 20138472834480 is 8443827483102.

20138472834480 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 84 + 7 + 2 + 83 + 4 + 480 = 666.

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

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 383 ways as a sum of consecutive naturals, for example, 1922155002 + ... + 1922165478.

It is an arithmetic number, because the mean of its divisors is an integer number (49767314688).

Almost surely, 2^{20138472834480} is an apocalyptic number.

20138472834480 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 20138472834480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47776622100480).

20138472834480 is an abundant number, since it is smaller than the sum of its proper divisors (75414771366480).

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

20138472834480 is a wasteful number, since it uses less digits than its factorization.

20138472834480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10664 (or 10645 counting only the distinct ones).

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

The spelling of 20138472834480 in words is "twenty trillion, one hundred thirty-eight billion, four hundred seventy-two million, eight hundred thirty-four thousand, four hundred eighty".