265198011000 has 768 divisors, whose sum is σ = 982302422400. Its totient is φ = 59265024000.

The previous prime is 265198010999. The next prime is 265198011047. The reversal of 265198011000 is 110891562.

265198011000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×265198011000² (a number of 24 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 249950470 + ... + 249951530.

Almost surely, 2^265198011000 is an apocalyptic number.

265198011000 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 265198011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491151211200).

265198011000 is an abundant number, since it is smaller than the sum of its proper divisors (717104411400).

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

265198011000 is a wasteful number, since it uses less digits than its factorization.

265198011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 33.

The spelling of 265198011000 in words is "two hundred sixty-five billion, one hundred ninety-eight million, eleven thousand".