20902055040 has 768 divisors, whose sum is σ = 80501990400. Its totient is φ = 4976640000.

The previous prime is 20902055017. The next prime is 20902055089. The reversal of 20902055040 is 4055020902.

20902055040 is a `hidden beast` number, since 2 + 0 + 90 + 20 + 550 + 4 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 20902054995 and 20902055013.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 206950990 + ... + 206951090.

It is an arithmetic number, because the mean of its divisors is an integer number (104820300).

Almost surely, 2^20902055040 is an apocalyptic number.

20902055040 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 20902055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40250995200).

20902055040 is an abundant number, since it is smaller than the sum of its proper divisors (59599935360).

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

20902055040 is a wasteful number, since it uses less digits than its factorization.

20902055040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 20902055040 its reverse (4055020902), we get a palindrome (24957075942).

The spelling of 20902055040 in words is "twenty billion, nine hundred two million, fifty-five thousand, forty".