248797992960 has 1440 divisors, whose sum is σ = 1021726545840. Its totient is φ = 57808650240.

The previous prime is 248797992929. The next prime is 248797992967. The reversal of 248797992960 is 69299797842.

248797992960 is a `hidden beast` number, since 248 + 7 + 9 + 7 + 99 + 296 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248797992967) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3713402847 + ... + 3713402913.

Almost surely, 2^248797992960 is an apocalyptic number.

248797992960 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 248797992960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510863272920).

248797992960 is an abundant number, since it is smaller than the sum of its proper divisors (772928552880).

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

248797992960 is a wasteful number, since it uses less digits than its factorization.

248797992960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 246903552, while the sum is 72.

The spelling of 248797992960 in words is "two hundred forty-eight billion, seven hundred ninety-seven million, nine hundred ninety-two thousand, nine hundred sixty".