248276160000 has 1200 divisors, whose sum is σ = 1036491504048. Its totient is φ = 56524800000.

The previous prime is 248276159993. The next prime is 248276160047. The reversal of 248276160000 is 61672842.

248276160000 is a `hidden beast` number, since 2 + 48 + 2 + 7 + 6 + 1 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 538559770 + ... + 538560230.

Almost surely, 2^248276160000 is an apocalyptic number.

248276160000 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 248276160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518245752024).

248276160000 is an abundant number, since it is smaller than the sum of its proper divisors (788215344048).

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

248276160000 is a wasteful number, since it uses less digits than its factorization.

248276160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 248276160000 in words is "two hundred forty-eight billion, two hundred seventy-six million, one hundred sixty thousand".