5128297574400 has 4992 divisors, whose sum is σ = 27028570060800. Its totient is φ = 917294284800.

The previous prime is 5128297574359. The next prime is 5128297574441. The reversal of 5128297574400 is 44757928215.

5128297574400 is a `hidden beast` number, since 5 + 1 + 2 + 8 + 29 + 7 + 574 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5128297574359) and next prime (5128297574441).

It is a tau number, because it is divible by the number of its divisors (4992).

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 383 ways as a sum of consecutive naturals, for example, 47048601546 + ... + 47048601654.

Almost surely, 2^{5128297574400} is an apocalyptic number.

5128297574400 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 5128297574400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13514285030400).

5128297574400 is an abundant number, since it is smaller than the sum of its proper divisors (21900272486400).

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

5128297574400 is a wasteful number, since it uses less digits than its factorization.

5128297574400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 5128297574400 in words is "five trillion, one hundred twenty-eight billion, two hundred ninety-seven million, five hundred seventy-four thousand, four hundred".