535979808001 has 8 divisors (see below), whose sum is σ = 615479205600. Its totient is φ = 461609403840.

The previous prime is 535979807981. The next prime is 535979808061. The reversal of 535979808001 is 100808979535.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 535979808001 - 2³¹ = 533832324353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (535979808061) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1282248136 + ... + 1282248553.

It is an arithmetic number, because the mean of its divisors is an integer number (76934900700).

Almost surely, 2^535979808001 is an apocalyptic number.

It is an amenable number.

535979808001 is a deficient number, since it is larger than the sum of its proper divisors (79499397599).

535979808001 is a wasteful number, since it uses less digits than its factorization.

535979808001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2564496719.

The product of its (nonzero) digits is 2721600, while the sum is 55.

It can be divided in two parts, 535979 and 808001, that added together give a triangular number (1343980 = T₁₆₃₉).

The spelling of 535979808001 in words is "five hundred thirty-five billion, nine hundred seventy-nine million, eight hundred eight thousand, one".