248875250220 has 384 divisors, whose sum is σ = 857485440000. Its totient is φ = 59672567808.

The previous prime is 248875250209. The next prime is 248875250227. The reversal of 248875250220 is 22052578842.

248875250220 is a `hidden beast` number, since 2 + 48 + 87 + 5 + 2 + 502 + 20 = 666.

It is a super-2 number, since 2×248875250220² (a number of 24 digits) contains 22 as substring.

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 (248875250227) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17547772 + ... + 17561948.

It is an arithmetic number, because the mean of its divisors is an integer number (2233035000).

Almost surely, 2^248875250220 is an apocalyptic number.

248875250220 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 248875250220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428742720000).

248875250220 is an abundant number, since it is smaller than the sum of its proper divisors (608610189780).

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

248875250220 is a wasteful number, since it uses less digits than its factorization.

248875250220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14302 (or 14294 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The spelling of 248875250220 in words is "two hundred forty-eight billion, eight hundred seventy-five million, two hundred fifty thousand, two hundred twenty".