289871167255956 has 480 divisors, whose sum is σ = 892428056002560. Its totient is φ = 80885603635200.

The previous prime is 289871167255913. The next prime is 289871167255961. The reversal of 289871167255956 is 659552761178982.

289871167255956 is a `hidden beast` number, since 2 + 8 + 9 + 8 + 7 + 1 + 1 + 6 + 7 + 2 + 559 + 56 = 666.

It is a super-3 number, since 3×289871167255956³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 35388979821 + ... + 35388988011.

It is an arithmetic number, because the mean of its divisors is an integer number (1859225116672).

Almost surely, 2^{289871167255956} is an apocalyptic number.

289871167255956 is a gapful number since it is divisible by the number (26) 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 289871167255956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446214028001280).

289871167255956 is an abundant number, since it is smaller than the sum of its proper divisors (602556888746604).

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

289871167255956 is a wasteful number, since it uses less digits than its factorization.

289871167255956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9997 (or 9986 counting only the distinct ones).

The product of its digits is 4572288000, while the sum is 81.

The spelling of 289871167255956 in words is "two hundred eighty-nine trillion, eight hundred seventy-one billion, one hundred sixty-seven million, two hundred fifty-five thousand, nine hundred fifty-six".