20253888826080 has 1536 divisors, whose sum is σ = 83475753984000. Its totient is φ = 4096770048000.

The previous prime is 20253888826063. The next prime is 20253888826097. The reversal of 20253888826080 is 8062888835202.

It is an interprime number because it is at equal distance from previous prime (20253888826063) and next prime (20253888826097).

It is a Harshad number since it is a multiple of its sum of digits (60).

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 255 ways as a sum of consecutive naturals, for example, 9372460200 + ... + 9372462360.

It is an arithmetic number, because the mean of its divisors is an integer number (54346194000).

Almost surely, 2^{20253888826080} is an apocalyptic number.

20253888826080 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 20253888826080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41737876992000).

20253888826080 is an abundant number, since it is smaller than the sum of its proper divisors (63221865157920).

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

20253888826080 is a wasteful number, since it uses less digits than its factorization.

20253888826080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2393 (or 2371 counting only the distinct ones).

The product of its (nonzero) digits is 23592960, while the sum is 60.

The spelling of 20253888826080 in words is "twenty trillion, two hundred fifty-three billion, eight hundred eighty-eight million, eight hundred twenty-six thousand, eighty".