5057695280800 has 144 divisors (see below), whose sum is σ = 12527929411200. Its totient is φ = 1993480473600.

The previous prime is 5057695280761. The next prime is 5057695280831. The reversal of 5057695280800 is 80825967505.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106703506 + ... + 106750894.

It is an arithmetic number, because the mean of its divisors is an integer number (86999509800).

Almost surely, 2^{5057695280800} is an apocalyptic number.

5057695280800 is a gapful number since it is divisible by the number (50) 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 5057695280800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6263964705600).

5057695280800 is an abundant number, since it is smaller than the sum of its proper divisors (7470234130400).

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

5057695280800 is a wasteful number, since it uses less digits than its factorization.

5057695280800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49359 (or 49346 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 55.

The spelling of 5057695280800 in words is "five trillion, fifty-seven billion, six hundred ninety-five million, two hundred eighty thousand, eight hundred".