249928160398080 has 432 divisors, whose sum is σ = 828659069521920. Its totient is φ = 64195393568768.

The previous prime is 249928160398057. The next prime is 249928160398099. The reversal of 249928160398080 is 80893061829942.

It is a junction number, because it is equal to n+sod(n) for n = 249928160397996 and 249928160398014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1353043009 + ... + 1353227711.

It is an arithmetic number, because the mean of its divisors is an integer number (1918192290560).

Almost surely, 2^{249928160398080} is an apocalyptic number.

249928160398080 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 249928160398080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414329534760960).

249928160398080 is an abundant number, since it is smaller than the sum of its proper divisors (578730909123840).

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

249928160398080 is a wasteful number, since it uses less digits than its factorization.

249928160398080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185204 (or 185161 counting only the distinct ones).

The product of its (nonzero) digits is 107495424, while the sum is 69.

The spelling of 249928160398080 in words is "two hundred forty-nine trillion, nine hundred twenty-eight billion, one hundred sixty million, three hundred ninety-eight thousand, eighty".