248265501120 has 1344 divisors, whose sum is σ = 1113022310400. Its totient is φ = 51627663360.

The previous prime is 248265501073. The next prime is 248265501149. The reversal of 248265501120 is 21105562842.

248265501120 is a `hidden beast` number, since 2 + 4 + 8 + 26 + 5 + 501 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 434790435 + ... + 434791005.

It is an arithmetic number, because the mean of its divisors is an integer number (828141600).

Almost surely, 2^248265501120 is an apocalyptic number.

248265501120 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 248265501120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556511155200).

248265501120 is an abundant number, since it is smaller than the sum of its proper divisors (864756809280).

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

248265501120 is a wasteful number, since it uses less digits than its factorization.

248265501120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 248265501120 in words is "two hundred forty-eight billion, two hundred sixty-five million, five hundred one thousand, one hundred twenty".