20201902995456 has 1728 divisors, whose sum is σ = 75594013447680. Its totient is φ = 5060247552000.

The previous prime is 20201902995451. The next prime is 20201902995457. The reversal of 20201902995456 is 65459920910202.

20201902995456 is a `hidden beast` number, since 2 + 0 + 2 + 0 + 1 + 9 + 0 + 2 + 99 + 545 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20201902995451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 133787436981 + ... + 133787437131.

It is an arithmetic number, because the mean of its divisors is an integer number (43746535560).

Almost surely, 2^{20201902995456} is an apocalyptic number.

20201902995456 is a gapful number since it is divisible by the number (26) 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 20201902995456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37797006723840).

20201902995456 is an abundant number, since it is smaller than the sum of its proper divisors (55392110452224).

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

20201902995456 is a wasteful number, since it uses less digits than its factorization.

20201902995456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 20201902995456 in words is "twenty trillion, two hundred one billion, nine hundred two million, nine hundred ninety-five thousand, four hundred fifty-six".