20502052255440 has 400 divisors, whose sum is σ = 81432753291648. Its totient is φ = 4683090650112.

The previous prime is 20502052255409. The next prime is 20502052255457. The reversal of 20502052255440 is 4455225020502.

20502052255440 is a `hidden beast` number, since 2 + 0 + 5 + 0 + 205 + 2 + 2 + 5 + 5 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20502052255395 and 20502052255404.

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 68934894 + ... + 69231666.

Almost surely, 2^{20502052255440} is an apocalyptic number.

20502052255440 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 20502052255440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40716376645824).

20502052255440 is an abundant number, since it is smaller than the sum of its proper divisors (60930701036208).

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

20502052255440 is a wasteful number, since it uses less digits than its factorization.

20502052255440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298328 (or 298313 counting only the distinct ones).

The product of its (nonzero) digits is 160000, while the sum is 36.

Adding to 20502052255440 its reverse (4455225020502), we get a palindrome (24957277275942).

It can be divided in two parts, 2050205 and 2255440, that added together give a triangular number (4305645 = T₂₉₃₄).

The spelling of 20502052255440 in words is "twenty trillion, five hundred two billion, fifty-two million, two hundred fifty-five thousand, four hundred forty".