248985752843520 has 1152 divisors, whose sum is σ = 1102113978900480. Its totient is φ = 51711907921920.

The previous prime is 248985752843491. The next prime is 248985752843573. The reversal of 248985752843520 is 25348257589842.

248985752843520 is a `hidden beast` number, since 2 + 4 + 8 + 9 + 8 + 5 + 7 + 52 + 8 + 43 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×248985752843520³ (a number of 44 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5686791549 + ... + 5686835331.

It is an arithmetic number, because the mean of its divisors is an integer number (956696162240).

Almost surely, 2^{248985752843520} is an apocalyptic number.

248985752843520 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 248985752843520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551056989450240).

248985752843520 is an abundant number, since it is smaller than the sum of its proper divisors (853128226056960).

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

248985752843520 is a wasteful number, since it uses less digits than its factorization.

248985752843520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45968 (or 45948 counting only the distinct ones).

The product of its (nonzero) digits is 1548288000, while the sum is 72.

The spelling of 248985752843520 in words is "two hundred forty-eight trillion, nine hundred eighty-five billion, seven hundred fifty-two million, eight hundred forty-three thousand, five hundred twenty".