20418098872320 has 1680 divisors, whose sum is σ = 77977826599680. Its totient is φ = 5121559756800.

The previous prime is 20418098872271. The next prime is 20418098872343. The reversal of 20418098872320 is 2327889081402.

20418098872320 is a `hidden beast` number, since 20 + 418 + 0 + 98 + 87 + 23 + 20 = 666.

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 111 ways as a sum of consecutive naturals, for example, 75903713146 + ... + 75903713414.

It is an arithmetic number, because the mean of its divisors is an integer number (46415372976).

Almost surely, 2^{20418098872320} is an apocalyptic number.

20418098872320 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 20418098872320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38988913299840).

20418098872320 is an abundant number, since it is smaller than the sum of its proper divisors (57559727727360).

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

20418098872320 is an frugal number, since it uses more digits than its factorization.

20418098872320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 20418098872320 in words is "twenty trillion, four hundred eighteen billion, ninety-eight million, eight hundred seventy-two thousand, three hundred twenty".