251856000000 has 1232 divisors, whose sum is σ = 1036280485440. Its totient is φ = 59904000000.

The previous prime is 251855999999. The next prime is 251856000023. The reversal of 251856000000 is 658152.

251856000000 is a `hidden beast` number, since 2 + 51 + 8 + 5 + 600 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 4751999974 + ... + 4752000026.

Almost surely, 2^251856000000 is an apocalyptic number.

251856000000 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 251856000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518140242720).

251856000000 is an abundant number, since it is smaller than the sum of its proper divisors (784424485440).

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

251856000000 is an frugal number, since it uses more digits than its factorization.

251856000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 251856000000 its reverse (658152), we get a palindrome (251856658152).

The spelling of 251856000000 in words is "two hundred fifty-one billion, eight hundred fifty-six million", and thus it is an aban number.