802986693120 has 240 divisors, whose sum is σ = 2944556592120. Its totient is φ = 201533816832.

The previous prime is 802986693071. The next prime is 802986693151. The reversal of 802986693120 is 21396689208.

It can be written as a sum of positive squares in 4 ways, for example, as 575388999936 + 227597693184 = 758544^2 + 477072^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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, 633375 + ... + 1416734.

Almost surely, 2^802986693120 is an apocalyptic number.

802986693120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

802986693120 is an abundant number, since it is smaller than the sum of its proper divisors (2141569899000).

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

802986693120 is a wasteful number, since it uses less digits than its factorization.

802986693120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2050155 (or 2050136 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 802986693120 in words is "eight hundred two billion, nine hundred eighty-six million, six hundred ninety-three thousand, one hundred twenty".