5127210295200 has 1728 divisors, whose sum is σ = 22956563185920. Its totient is φ = 1097364602880.

The previous prime is 5127210295171. The next prime is 5127210295213. The reversal of 5127210295200 is 25920127215.

5127210295200 is a `hidden beast` number, since 5 + 1 + 27 + 2 + 102 + 9 + 520 + 0 = 666.

It is a super-2 number, since 2×5127210295200² (a number of 26 digits) contains 22 as substring.

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 287 ways as a sum of consecutive naturals, for example, 4192321789 + ... + 4192323011.

It is an arithmetic number, because the mean of its divisors is an integer number (13285048140).

Almost surely, 2^{5127210295200} is an apocalyptic number.

5127210295200 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 5127210295200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11478281592960).

5127210295200 is an abundant number, since it is smaller than the sum of its proper divisors (17829352890720).

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

5127210295200 is a wasteful number, since it uses less digits than its factorization.

5127210295200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1516 (or 1490 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 5127210295200 in words is "five trillion, one hundred twenty-seven billion, two hundred ten million, two hundred ninety-five thousand, two hundred".