20265102016768 has 288 divisors, whose sum is σ = 49615719148800. Its totient is φ = 8068144693248.

The previous prime is 20265102016763. The next prime is 20265102016829. The reversal of 20265102016768 is 86761020156202.

It is not an unprimeable number, because it can be changed into a prime (20265102016763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 429968628 + ... + 430015756.

It is an arithmetic number, because the mean of its divisors is an integer number (172276802600).

Almost surely, 2^{20265102016768} is an apocalyptic number.

20265102016768 is a gapful number since it is divisible by the number (28) 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 20265102016768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24807859574400).

20265102016768 is an abundant number, since it is smaller than the sum of its proper divisors (29350617132032).

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

20265102016768 is a wasteful number, since it uses less digits than its factorization.

20265102016768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47417 (or 47403 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 46.

The spelling of 20265102016768 in words is "twenty trillion, two hundred sixty-five billion, one hundred two million, sixteen thousand, seven hundred sixty-eight".