5261057464320 has 2016 divisors, whose sum is σ = 23205951241200. Its totient is φ = 1137731567616.

The previous prime is 5261057464307. The next prime is 5261057464321. The reversal of 5261057464320 is 234647501625.

5261057464320 is a `hidden beast` number, since 5 + 2 + 6 + 10 + 574 + 6 + 43 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5261057464321) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 6949877382 + ... + 6949878138.

Almost surely, 2^{5261057464320} 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 5261057464320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11602975620600).

5261057464320 is an abundant number, since it is smaller than the sum of its proper divisors (17944893776880).

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

5261057464320 is an equidigital number, since it uses as much as digits as its factorization.

5261057464320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 5261057464320 in words is "five trillion, two hundred sixty-one billion, fifty-seven million, four hundred sixty-four thousand, three hundred twenty".