5303259319680 has 2560 divisors, whose sum is σ = 23658725376000. Its totient is φ = 1105590435840.

The previous prime is 5303259319669. The next prime is 5303259319691. The reversal of 5303259319680 is 869139523035.

5303259319680 is a `hidden beast` number, since 5 + 3 + 0 + 32 + 593 + 19 + 6 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5303259319669) and next prime (5303259319691).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 26649544221 + ... + 26649544419.

It is an arithmetic number, because the mean of its divisors is an integer number (9241689600).

Almost surely, 2^{5303259319680} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5303259319680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11829362688000).

5303259319680 is an abundant number, since it is smaller than the sum of its proper divisors (18355466056320).

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

5303259319680 is a wasteful number, since it uses less digits than its factorization.

5303259319680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 5303259319680 in words is "five trillion, three hundred three billion, two hundred fifty-nine million, three hundred nineteen thousand, six hundred eighty".