802263849120 has 144 divisors (see below), whose sum is σ = 2758624700832. Its totient is φ = 212303869440.

The previous prime is 802263849113. The next prime is 802263849133. The reversal of 802263849120 is 21948362208.

802263849120 is a `hidden beast` number, since 8 + 0 + 2 + 2 + 638 + 4 + 9 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1937802 + ... + 2315081.

It is an arithmetic number, because the mean of its divisors is an integer number (19157115978).

Almost surely, 2^802263849120 is an apocalyptic number.

802263849120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

802263849120 is an abundant number, since it is smaller than the sum of its proper divisors (1956360851712).

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

802263849120 is a wasteful number, since it uses less digits than its factorization.

802263849120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4253035 (or 4253024 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 802263849120 in words is "eight hundred two billion, two hundred sixty-three million, eight hundred forty-nine thousand, one hundred twenty".