265878288000 has 1280 divisors, whose sum is σ = 1091135485440. Its totient is φ = 63750758400.

The previous prime is 265878287959. The next prime is 265878288023. The reversal of 265878288000 is 882878562.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 724463817 + ... + 724464183.

It is an arithmetic number, because the mean of its divisors is an integer number (852449598).

Almost surely, 2^265878288000 is an apocalyptic number.

265878288000 is a gapful number since it is divisible by the number (20) 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 265878288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545567742720).

265878288000 is an abundant number, since it is smaller than the sum of its proper divisors (825257197440).

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

265878288000 is a wasteful number, since it uses less digits than its factorization.

265878288000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

It can be divided in two parts, 265878 and 288000, that added together give a triangular number (553878 = T₁₀₅₂).

The spelling of 265878288000 in words is "two hundred sixty-five billion, eight hundred seventy-eight million, two hundred eighty-eight thousand".