249479206080 has 672 divisors, whose sum is σ = 887545900800. Its totient is φ = 59315503104.

The previous prime is 249479206033. The next prime is 249479206087. The reversal of 249479206080 is 80602974942.

It is not an unprimeable number, because it can be changed into a prime (249479206087) 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, 641334526 + ... + 641334914.

Almost surely, 2^249479206080 is an apocalyptic number.

249479206080 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 249479206080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443772950400).

249479206080 is an abundant number, since it is smaller than the sum of its proper divisors (638066694720).

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

249479206080 is a wasteful number, since it uses less digits than its factorization.

249479206080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 249479206080 in words is "two hundred forty-nine billion, four hundred seventy-nine million, two hundred six thousand, eighty".