248724894880 has 192 divisors, whose sum is σ = 748197015552. Its totient is φ = 75875005440.

The previous prime is 248724894871. The next prime is 248724894931. The reversal of 248724894880 is 88498427842.

It is a super-5 number, since 5×248724894880⁵ (a number of 58 digits) contains 55555 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 364267 + ... + 793813.

It is an arithmetic number, because the mean of its divisors is an integer number (3896859456).

Almost surely, 2^248724894880 is an apocalyptic number.

248724894880 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 248724894880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374098507776).

248724894880 is an abundant number, since it is smaller than the sum of its proper divisors (499472120672).

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

248724894880 is a wasteful number, since it uses less digits than its factorization.

248724894880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429627 (or 429619 counting only the distinct ones).

The product of its (nonzero) digits is 66060288, while the sum is 64.

It can be divided in two parts, 2487248 and 94880, that added together give a triangular number (2582128 = T₂₂₇₂).

The spelling of 248724894880 in words is "two hundred forty-eight billion, seven hundred twenty-four million, eight hundred ninety-four thousand, eight hundred eighty".