248913070560 has 576 divisors, whose sum is σ = 1063744980480. Its totient is φ = 51491082240.

The previous prime is 248913070543. The next prime is 248913070573. The reversal of 248913070560 is 65070319842.

248913070560 is a `hidden beast` number, since 2 + 4 + 8 + 9 + 13 + 0 + 70 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25386619 + ... + 25396421.

It is an arithmetic number, because the mean of its divisors is an integer number (1846779480).

It is a 1-persistent number, because it is pandigital, but 2⋅248913070560 = 497826141120 is not.

Almost surely, 2^248913070560 is an apocalyptic number.

248913070560 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 248913070560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531872490240).

248913070560 is an abundant number, since it is smaller than the sum of its proper divisors (814831909920).

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

248913070560 is a wasteful number, since it uses less digits than its factorization.

248913070560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10071 (or 10060 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 248913070560 in words is "two hundred forty-eight billion, nine hundred thirteen million, seventy thousand, five hundred sixty".