251002255521200 has 120 divisors (see below), whose sum is σ = 629352453427488. Its totient is φ = 96020275056640.

The previous prime is 251002255521163. The next prime is 251002255521209. The reversal of 251002255521200 is 2125552200152.

It is not an unprimeable number, because it can be changed into a prime (251002255521209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55384214 + ... + 59744586.

Almost surely, 2^{251002255521200} is an apocalyptic number.

251002255521200 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 251002255521200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314676226713744).

251002255521200 is an abundant number, since it is smaller than the sum of its proper divisors (378350197906288).

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

251002255521200 is a wasteful number, since it uses less digits than its factorization.

251002255521200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4366671 (or 4366660 counting only the distinct ones).

The product of its (nonzero) digits is 20000, while the sum is 32.

The spelling of 251002255521200 in words is "two hundred fifty-one trillion, two billion, two hundred fifty-five million, five hundred twenty-one thousand, two hundred".