5248065513600 has 3456 divisors, whose sum is σ = 25542033955200. Its totient is φ = 1024610549760.

The previous prime is 5248065513569. The next prime is 5248065513617. The reversal of 5248065513600 is 63155608425.

5248065513600 is a `hidden beast` number, since 5 + 2 + 480 + 65 + 51 + 3 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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 431 ways as a sum of consecutive naturals, for example, 122048035179 + ... + 122048035221.

It is an arithmetic number, because the mean of its divisors is an integer number (7390634825).

Almost surely, 2^{5248065513600} is an apocalyptic number.

5248065513600 is a gapful number since it is divisible by the number (50) 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 5248065513600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12771016977600).

5248065513600 is an abundant number, since it is smaller than the sum of its proper divisors (20293968441600).

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

5248065513600 is a wasteful number, since it uses less digits than its factorization.

5248065513600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 5248065513600 in words is "five trillion, two hundred forty-eight billion, sixty-five million, five hundred thirteen thousand, six hundred".