290086876128 has 96 divisors (see below), whose sum is σ = 871277831424. Its totient is φ = 82785088512.

The previous prime is 290086876111. The next prime is 290086876129. The reversal of 290086876128 is 821678680092.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×290086876128³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290086876129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 324051 + ... + 827757.

It is an arithmetic number, because the mean of its divisors is an integer number (9075810744).

Almost surely, 2^290086876128 is an apocalyptic number.

290086876128 is a gapful number since it is divisible by the number (28) 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 290086876128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435638915712).

290086876128 is an abundant number, since it is smaller than the sum of its proper divisors (581190955296).

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

290086876128 is a wasteful number, since it uses less digits than its factorization.

290086876128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504584 (or 504576 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 57.

The spelling of 290086876128 in words is "two hundred ninety billion, eighty-six million, eight hundred seventy-six thousand, one hundred twenty-eight".