20853321285120 has 320 divisors, whose sum is σ = 68895915004224. Its totient is φ = 5377234042880.

The previous prime is 20853321285109. The next prime is 20853321285131. The reversal of 20853321285120 is 2158212335802.

It is an interprime number because it is at equal distance from previous prime (20853321285109) and next prime (20853321285131).

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×20853321285120² (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 (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35288404 + ... + 35874476.

Almost surely, 2^{20853321285120} is an apocalyptic number.

20853321285120 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 20853321285120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34447957502112).

20853321285120 is an abundant number, since it is smaller than the sum of its proper divisors (48042593719104).

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

20853321285120 is a wasteful number, since it uses less digits than its factorization.

20853321285120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586253 (or 586237 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The spelling of 20853321285120 in words is "twenty trillion, eight hundred fifty-three billion, three hundred twenty-one million, two hundred eighty-five thousand, one hundred twenty".