20210255097984 has 1536 divisors, whose sum is σ = 74480732928000. Its totient is φ = 5281339760640.

The previous prime is 20210255097917. The next prime is 20210255098013. The reversal of 20210255097984 is 48979055201202.

20210255097984 is a `hidden beast` number, since 2 + 0 + 2 + 1 + 0 + 2 + 550 + 9 + 7 + 9 + 84 = 666.

It is a super-2 number, since 2×20210255097984² (a number of 27 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20210255097984.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 31431189567 + ... + 31431190209.

It is an arithmetic number, because the mean of its divisors is an integer number (48490060500).

Almost surely, 2^{20210255097984} is an apocalyptic number.

20210255097984 is a gapful number since it is divisible by the number (24) 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 20210255097984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37240366464000).

20210255097984 is an abundant number, since it is smaller than the sum of its proper divisors (54270477830016).

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

20210255097984 is a wasteful number, since it uses less digits than its factorization.

20210255097984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 20210255097984 in words is "twenty trillion, two hundred ten billion, two hundred fifty-five million, ninety-seven thousand, nine hundred eighty-four".