251544648960 has 576 divisors, whose sum is σ = 981410411520. Its totient is φ = 60503040000.

The previous prime is 251544648947. The next prime is 251544648967. The reversal of 251544648960 is 69846445152.

It is a happy number.

251544648960 is a `hidden beast` number, since 2 + 5 + 1 + 544 + 6 + 4 + 8 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 251544648897 and 251544648906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251544648967) by changing a digit.

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, 49798435 + ... + 49803485.

It is an arithmetic number, because the mean of its divisors is an integer number (1703837520).

Almost surely, 2^251544648960 is an apocalyptic number.

251544648960 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 251544648960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490705205760).

251544648960 is an abundant number, since it is smaller than the sum of its proper divisors (729865762560).

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

251544648960 is a wasteful number, since it uses less digits than its factorization.

251544648960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5223 (or 5203 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 251544648960 in words is "two hundred fifty-one billion, five hundred forty-four million, six hundred forty-eight thousand, nine hundred sixty".