250082069952 has 448 divisors, whose sum is σ = 820838592000. Its totient is φ = 66063237120.

The previous prime is 250082069947. The next prime is 250082069969. The reversal of 250082069952 is 259960280052.

It is a super-2 number, since 2×250082069952² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 238399924 + ... + 238400972.

It is an arithmetic number, because the mean of its divisors is an integer number (1832229000).

Almost surely, 2^250082069952 is an apocalyptic number.

250082069952 is a gapful number since it is divisible by the number (22) 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 250082069952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410419296000).

250082069952 is an abundant number, since it is smaller than the sum of its proper divisors (570756522048).

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

250082069952 is a wasteful number, since it uses less digits than its factorization.

250082069952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1564 (or 1554 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 48.

The spelling of 250082069952 in words is "two hundred fifty billion, eighty-two million, sixty-nine thousand, nine hundred fifty-two".