5259657786480 has 320 divisors, whose sum is σ = 18603814993920. Its totient is φ = 1365272423424.

The previous prime is 5259657786473. The next prime is 5259657786499. The reversal of 5259657786480 is 846877569525.

5259657786480 is a `hidden beast` number, since 5 + 2 + 5 + 9 + 6 + 577 + 8 + 6 + 48 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 5259657786399 and 5259657786408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14358079 + ... + 14719841.

It is an arithmetic number, because the mean of its divisors is an integer number (58136921856).

Almost surely, 2^{5259657786480} 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 5259657786480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9301907496960).

5259657786480 is an abundant number, since it is smaller than the sum of its proper divisors (13344157207440).

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

5259657786480 is a wasteful number, since it uses less digits than its factorization.

5259657786480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361965 (or 361953 counting only the distinct ones).

The product of its (nonzero) digits is 1016064000, while the sum is 72.

The spelling of 5259657786480 in words is "five trillion, two hundred fifty-nine billion, six hundred fifty-seven million, seven hundred eighty-six thousand, four hundred eighty".