803065211781600 has 576 divisors, whose sum is σ = 2822495229118656. Its totient is φ = 197573091655680.

The previous prime is 803065211781559. The next prime is 803065211781629. The reversal of 803065211781600 is 6187112560308.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 803065211781600.

It is a congruent number.

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, 2415234562 + ... + 2415567038.

It is an arithmetic number, because the mean of its divisors is an integer number (4900165328331).

Almost surely, 2^{803065211781600} is an apocalyptic number.

803065211781600 is a gapful number since it is divisible by the number (80) 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 803065211781600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1411247614559328).

803065211781600 is an abundant number, since it is smaller than the sum of its proper divisors (2019430017337056).

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

803065211781600 is a wasteful number, since it uses less digits than its factorization.

803065211781600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333687 (or 333674 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The spelling of 803065211781600 in words is "eight hundred three trillion, sixty-five billion, two hundred eleven million, seven hundred eighty-one thousand, six hundred".