5200127612772 has 96 divisors (see below), whose sum is σ = 13429267555200. Its totient is φ = 1559527603200.

The previous prime is 5200127612761. The next prime is 5200127612783. The reversal of 5200127612772 is 2772167210025.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5200127612761) and next prime (5200127612783).

It is a super-2 number, since 2×5200127612772² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6043129 + ... + 6849792.

It is an arithmetic number, because the mean of its divisors is an integer number (139888203700).

Almost surely, 2^{5200127612772} is an apocalyptic number.

It is an amenable number.

5200127612772 is an abundant number, since it is smaller than the sum of its proper divisors (8229139942428).

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

5200127612772 is a wasteful number, since it uses less digits than its factorization.

5200127612772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12893037 (or 12893035 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 42.

The spelling of 5200127612772 in words is "five trillion, two hundred billion, one hundred twenty-seven million, six hundred twelve thousand, seven hundred seventy-two".