249723897713280 has 768 divisors, whose sum is σ = 916953720883200. Its totient is φ = 64909956206592.

The previous prime is 249723897713273. The next prime is 249723897713281. The reversal of 249723897713280 is 82317798327942.

249723897713280 is a `hidden beast` number, since 2 + 4 + 9 + 72 + 389 + 7 + 71 + 32 + 80 = 666.

It is a super-2 number, since 2×249723897713280² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 249723897713199 and 249723897713208.

It is not an unprimeable number, because it can be changed into a prime (249723897713281) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3256705981 + ... + 3256782659.

It is an arithmetic number, because the mean of its divisors is an integer number (1193950157400).

Almost surely, 2^{249723897713280} is an apocalyptic number.

249723897713280 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 249723897713280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458476860441600).

249723897713280 is an abundant number, since it is smaller than the sum of its proper divisors (667229823169920).

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

249723897713280 is an equidigital number, since it uses as much as digits as its factorization.

249723897713280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77243 (or 77219 counting only the distinct ones).

The product of its (nonzero) digits is 512096256, while the sum is 72.

The spelling of 249723897713280 in words is "two hundred forty-nine trillion, seven hundred twenty-three billion, eight hundred ninety-seven million, seven hundred thirteen thousand, two hundred eighty".