5127561627120 has 120 divisors (see below), whose sum is σ = 17220832059600. Its totient is φ = 1367288552448.

The previous prime is 5127561627109. The next prime is 5127561627131. The reversal of 5127561627120 is 217261657215.

5127561627120 is a `hidden beast` number, since 5 + 1 + 2 + 7 + 5 + 6 + 1 + 627 + 12 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5127561627109) and next prime (5127561627131).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17254351 + ... + 17549009.

It is an arithmetic number, because the mean of its divisors is an integer number (143506933830).

Almost surely, 2^{5127561627120} is an apocalyptic number.

It is an amenable number.

5127561627120 is an abundant number, since it is smaller than the sum of its proper divisors (12093270432480).

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

5127561627120 is a wasteful number, since it uses less digits than its factorization.

5127561627120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318847 (or 318838 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 5127561627120 in words is "five trillion, one hundred twenty-seven billion, five hundred sixty-one million, six hundred twenty-seven thousand, one hundred twenty".