26208000285120 has 168 divisors, whose sum is σ = 91490043459984. Its totient is φ = 6884489576448.

The previous prime is 26208000285113. The next prime is 26208000285139. The reversal of 26208000285120 is 2158200080262.

26208000285120 is a `hidden beast` number, since 2 + 62 + 0 + 80 + 0 + 0 + 2 + 8 + 512 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

26208000285120 is a modest number, since divided by 285120 gives 262080 as remainder.

It is a congruent number.

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, 67717489 + ... + 68103408.

Almost surely, 2^{26208000285120} is an apocalyptic number.

26208000285120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26208000285120 is an abundant number, since it is smaller than the sum of its proper divisors (65282043174864).

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

26208000285120 is a wasteful number, since it uses less digits than its factorization.

26208000285120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135820987 (or 135820974 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 26208000285120 in words is "twenty-six trillion, two hundred eight billion, two hundred eighty-five thousand, one hundred twenty".