803250520128 has 336 divisors, whose sum is σ = 2733500841344. Its totient is φ = 229099622400.

The previous prime is 803250520103. The next prime is 803250520151. The reversal of 803250520128 is 821025052308.

803250520128 is a `hidden beast` number, since 8 + 0 + 3 + 2 + 5 + 0 + 520 + 128 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×803250520128² (a number of 25 digits) contains 22 as substring.

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 = 803250520092 and 803250520101.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65421126 + ... + 65433402.

Almost surely, 2^803250520128 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 803250520128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1366750420672).

803250520128 is an abundant number, since it is smaller than the sum of its proper divisors (1930250321216).

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

803250520128 is a wasteful number, since it uses less digits than its factorization.

803250520128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12912 (or 12890 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 803250520128 in words is "eight hundred three billion, two hundred fifty million, five hundred twenty thousand, one hundred twenty-eight".