249593160960 has 864 divisors, whose sum is σ = 1023385079808. Its totient is φ = 55366778880.

The previous prime is 249593160937. The next prime is 249593160977. The reversal of 249593160960 is 69061395942.

249593160960 is a `hidden beast` number, since 2 + 49 + 593 + 1 + 6 + 0 + 9 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 249593160897 and 249593160906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 209214124 + ... + 209215316.

It is an arithmetic number, because the mean of its divisors is an integer number (1184473472).

Almost surely, 2^249593160960 is an apocalyptic number.

249593160960 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 249593160960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511692539904).

249593160960 is an abundant number, since it is smaller than the sum of its proper divisors (773791918848).

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

249593160960 is a wasteful number, since it uses less digits than its factorization.

249593160960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1371 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 249593160960 in words is "two hundred forty-nine billion, five hundred ninety-three million, one hundred sixty thousand, nine hundred sixty".