248180170560 has 672 divisors, whose sum is σ = 978703534080. Its totient is φ = 52970803200.

The previous prime is 248180170519. The next prime is 248180170561. The reversal of 248180170560 is 65071081842.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248180170561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63455005 + ... + 63458915.

Almost surely, 2^248180170560 is an apocalyptic number.

248180170560 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 248180170560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489351767040).

248180170560 is an abundant number, since it is smaller than the sum of its proper divisors (730523363520).

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

248180170560 is a wasteful number, since it uses less digits than its factorization.

248180170560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4035 (or 4018 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The spelling of 248180170560 in words is "two hundred forty-eight billion, one hundred eighty million, one hundred seventy thousand, five hundred sixty".