20503790641152 has 1568 divisors, whose sum is σ = 78336444271680. Its totient is φ = 5217111244800.

The previous prime is 20503790641121. The next prime is 20503790641163. The reversal of 20503790641152 is 25114609730502.

20503790641152 is a `hidden beast` number, since 2 + 0 + 503 + 7 + 90 + 6 + 4 + 1 + 1 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 20503790641098 and 20503790641107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 15760022902 + ... + 15760024202.

It is an arithmetic number, because the mean of its divisors is an integer number (49959467010).

Almost surely, 2^{20503790641152} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20503790641152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39168222135840).

20503790641152 is an abundant number, since it is smaller than the sum of its proper divisors (57832653630528).

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

20503790641152 is an equidigital number, since it uses as much as digits as its factorization.

20503790641152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1394 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 20503790641152 in words is "twenty trillion, five hundred three billion, seven hundred ninety million, six hundred forty-one thousand, one hundred fifty-two".