5127541056000 has 2240 divisors, whose sum is σ = 21333448071936. Its totient is φ = 1218281472000.

The previous prime is 5127541055971. The next prime is 5127541056013. The reversal of 5127541056000 is 6501457215.

5127541056000 is a `hidden beast` number, since 5 + 1 + 2 + 7 + 5 + 41 + 0 + 5 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 49781951949 + ... + 49781952051.

Almost surely, 2^{5127541056000} is an apocalyptic number.

5127541056000 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 5127541056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10666724035968).

5127541056000 is an abundant number, since it is smaller than the sum of its proper divisors (16205907015936).

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

5127541056000 is an equidigital number, since it uses as much as digits as its factorization.

5127541056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The spelling of 5127541056000 in words is "five trillion, one hundred twenty-seven billion, five hundred forty-one million, fifty-six thousand".