250938200832 has 1152 divisors, whose sum is σ = 858990182400. Its totient is φ = 64099123200.

The previous prime is 250938200797. The next prime is 250938200867. The reversal of 250938200832 is 238002839052.

It is an interprime number because it is at equal distance from previous prime (250938200797) and next prime (250938200867).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5339110633 + ... + 5339110679.

It is an arithmetic number, because the mean of its divisors is an integer number (745651200).

Almost surely, 2^250938200832 is an apocalyptic number.

250938200832 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 250938200832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429495091200).

250938200832 is an abundant number, since it is smaller than the sum of its proper divisors (608051981568).

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

250938200832 is a wasteful number, since it uses less digits than its factorization.

250938200832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 250938200832 in words is "two hundred fifty billion, nine hundred thirty-eight million, two hundred thousand, eight hundred thirty-two".