249528265920 has 336 divisors, whose sum is σ = 897314326272. Its totient is φ = 63525242880.

The previous prime is 249528265873. The next prime is 249528265933. The reversal of 249528265920 is 29562825942.

249528265920 is a `hidden beast` number, since 2 + 4 + 9 + 5 + 28 + 26 + 592 + 0 = 666.

249528265920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37289775 + ... + 37296465.

It is an arithmetic number, because the mean of its divisors is an integer number (2670578352).

Almost surely, 2^249528265920 is an apocalyptic number.

249528265920 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 249528265920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448657163136).

249528265920 is an abundant number, since it is smaller than the sum of its proper divisors (647786060352).

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

249528265920 is a wasteful number, since it uses less digits than its factorization.

249528265920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7300 (or 7287 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 249528265920 in words is "two hundred forty-nine billion, five hundred twenty-eight million, two hundred sixty-five thousand, nine hundred twenty".