251048263680 has 320 divisors, whose sum is σ = 900088360380. Its totient is φ = 66942664704.

The previous prime is 251048263667. The next prime is 251048263681. The reversal of 251048263680 is 86362840152.

251048263680 is a `hidden beast` number, since 2 + 5 + 1 + 0 + 4 + 8 + 2 + 636 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 248817401856 + 2230861824 = 498816^2 + 47232^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (251048263681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13261582 + ... + 13280498.

Almost surely, 2^251048263680 is an apocalyptic number.

251048263680 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 251048263680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450044180190).

251048263680 is an abundant number, since it is smaller than the sum of its proper divisors (649040096700).

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

251048263680 is an frugal number, since it uses more digits than its factorization.

251048263680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18964 (or 18927 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 251048263680 in words is "two hundred fifty-one billion, forty-eight million, two hundred sixty-three thousand, six hundred eighty".