248980887460800 has 3024 divisors, whose sum is σ = 1045244247649056. Its totient is φ = 58213748736000.

The previous prime is 248980887460793. The next prime is 248980887460817. The reversal of 248980887460800 is 8064788089842.

248980887460800 is a `hidden beast` number, since 2 + 4 + 8 + 9 + 8 + 0 + 8 + 8 + 7 + 4 + 608 + 0 + 0 = 666.

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 431 ways as a sum of consecutive naturals, for example, 152095837582 + ... + 152095839218.

It is an arithmetic number, because the mean of its divisors is an integer number (345649552794).

Almost surely, 2^{248980887460800} is an apocalyptic number.

248980887460800 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 248980887460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522622123824528).

248980887460800 is an abundant number, since it is smaller than the sum of its proper divisors (796263360188256).

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

248980887460800 is a wasteful number, since it uses less digits than its factorization.

248980887460800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1810 (or 1772 counting only the distinct ones).

The product of its (nonzero) digits is 396361728, while the sum is 72.

The spelling of 248980887460800 in words is "two hundred forty-eight trillion, nine hundred eighty billion, eight hundred eighty-seven million, four hundred sixty thousand, eight hundred".