20803117528032 has 384 divisors, whose sum is σ = 69179327078400. Its totient is φ = 5336674523136.

The previous prime is 20803117527979. The next prime is 20803117528043. The reversal of 20803117528032 is 23082571130802.

It is a super-2 number, since 2×20803117528032² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31684423 + ... + 32334329.

It is an arithmetic number, because the mean of its divisors is an integer number (180154497600).

Almost surely, 2^{20803117528032} 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 20803117528032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34589663539200).

20803117528032 is an abundant number, since it is smaller than the sum of its proper divisors (48376209550368).

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

20803117528032 is a wasteful number, since it uses less digits than its factorization.

20803117528032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650078 (or 650070 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

Adding to 20803117528032 its reverse (23082571130802), we get a palindrome (43885688658834).

The spelling of 20803117528032 in words is "twenty trillion, eight hundred three billion, one hundred seventeen million, five hundred twenty-eight thousand, thirty-two".