5057653640832 has 1024 divisors, whose sum is σ = 17908737638400. Its totient is φ = 1389334560768.

The previous prime is 5057653640813. The next prime is 5057653640887. The reversal of 5057653640832 is 2380463567505.

5057653640832 is a `hidden beast` number, since 5 + 0 + 5 + 76 + 536 + 4 + 0 + 8 + 32 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2230988563 + ... + 2230990829.

It is an arithmetic number, because the mean of its divisors is an integer number (17489001600).

Almost surely, 2^{5057653640832} is an apocalyptic number.

5057653640832 is a gapful number since it is divisible by the number (52) 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 5057653640832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8954368819200).

5057653640832 is an abundant number, since it is smaller than the sum of its proper divisors (12851083997568).

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

5057653640832 is a wasteful number, since it uses less digits than its factorization.

5057653640832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2470 (or 2452 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 54.

The spelling of 5057653640832 in words is "five trillion, fifty-seven billion, six hundred fifty-three million, six hundred forty thousand, eight hundred thirty-two".