20498171485440 has 1152 divisors, whose sum is σ = 75563557945344. Its totient is φ = 4690280448000.

The previous prime is 20498171485367. The next prime is 20498171485453. The reversal of 20498171485440 is 4458417189402.

It is a super-2 number, since 2×20498171485440² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9018112144 + ... + 9018114416.

It is an arithmetic number, because the mean of its divisors is an integer number (65593366272).

Almost surely, 2^{20498171485440} is an apocalyptic number.

20498171485440 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 20498171485440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37781778972672).

20498171485440 is an abundant number, since it is smaller than the sum of its proper divisors (55065386459904).

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

20498171485440 is a wasteful number, since it uses less digits than its factorization.

20498171485440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2507 (or 2493 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 57.

The spelling of 20498171485440 in words is "twenty trillion, four hundred ninety-eight billion, one hundred seventy-one million, four hundred eighty-five thousand, four hundred forty".