248987925930240 has 1728 divisors, whose sum is σ = 1025956399104000. Its totient is φ = 54566009634816.

The previous prime is 248987925930239. The next prime is 248987925930253. The reversal of 248987925930240 is 42039529789842.

248987925930240 is a `hidden beast` number, since 2 + 4 + 8 + 9 + 8 + 7 + 9 + 2 + 593 + 0 + 24 + 0 = 666.

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

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, 118622164711 + ... + 118622166809.

It is an arithmetic number, because the mean of its divisors is an integer number (593724768000).

Almost surely, 2^{248987925930240} is an apocalyptic number.

248987925930240 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 248987925930240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512978199552000).

248987925930240 is an abundant number, since it is smaller than the sum of its proper divisors (776968473173760).

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

248987925930240 is a wasteful number, since it uses less digits than its factorization.

248987925930240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2732 (or 2715 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 72.

The spelling of 248987925930240 in words is "two hundred forty-eight trillion, nine hundred eighty-seven billion, nine hundred twenty-five million, nine hundred thirty thousand, two hundred forty".