20903040087552 has 1440 divisors, whose sum is σ = 75892232988000. Its totient is φ = 5505018494976.

The previous prime is 20903040087551. The next prime is 20903040087557. The reversal of 20903040087552 is 25578004030902.

20903040087552 is a `hidden beast` number, since 2 + 0 + 90 + 3 + 0 + 4 + 0 + 0 + 8 + 7 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 20903040087498 and 20903040087507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20903040087551) 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, 33878508748 + ... + 33878509364.

It is an arithmetic number, because the mean of its divisors is an integer number (52702939575).

Almost surely, 2^{20903040087552} 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 20903040087552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37946116494000).

20903040087552 is an abundant number, since it is smaller than the sum of its proper divisors (54989192900448).

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

20903040087552 is a wasteful number, since it uses less digits than its factorization.

20903040087552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 20903040087552 in words is "twenty trillion, nine hundred three billion, forty million, eighty-seven thousand, five hundred fifty-two".