5182647546240 has 384 divisors, whose sum is σ = 18565805905920. Its totient is φ = 1381544294400.

The previous prime is 5182647546229. The next prime is 5182647546257. The reversal of 5182647546240 is 426457462815.

5182647546240 is a `hidden beast` number, since 5 + 1 + 8 + 2 + 6 + 4 + 7 + 5 + 4 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 692215777 + ... + 692223263.

It is an arithmetic number, because the mean of its divisors is an integer number (48348452880).

Almost surely, 2^{5182647546240} 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 5182647546240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9282902952960).

5182647546240 is an abundant number, since it is smaller than the sum of its proper divisors (13383158359680).

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

5182647546240 is an equidigital number, since it uses as much as digits as its factorization.

5182647546240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11972 (or 11948 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 5182647546240 in words is "five trillion, one hundred eighty-two billion, six hundred forty-seven million, five hundred forty-six thousand, two hundred forty".