250829854968 has 384 divisors, whose sum is σ = 807065280000. Its totient is φ = 64886976000.

The previous prime is 250829854943. The next prime is 250829854999. The reversal of 250829854968 is 869458928052.

It is a happy number.

It is a super-2 number, since 2×250829854968² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 250829854899 and 250829854908.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 417353868 + ... + 417354468.

It is an arithmetic number, because the mean of its divisors is an integer number (2101732500).

Almost surely, 2^250829854968 is an apocalyptic number.

250829854968 is a gapful number since it is divisible by the number (28) 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 250829854968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403532640000).

250829854968 is an abundant number, since it is smaller than the sum of its proper divisors (556235425032).

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

250829854968 is a wasteful number, since it uses less digits than its factorization.

250829854968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 66.

The spelling of 250829854968 in words is "two hundred fifty billion, eight hundred twenty-nine million, eight hundred fifty-four thousand, nine hundred sixty-eight".