5127553035072 has 336 divisors, whose sum is σ = 16077647214720. Its totient is φ = 1552874803200.

The previous prime is 5127553035061. The next prime is 5127553035091. The reversal of 5127553035072 is 2705303557215.

5127553035072 is a `hidden beast` number, since 5 + 1 + 27 + 553 + 0 + 3 + 5 + 0 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 329082322 + ... + 329097902.

It is an arithmetic number, because the mean of its divisors is an integer number (47850140520).

Almost surely, 2^{5127553035072} is an apocalyptic number.

5127553035072 is a gapful number since it is divisible by the number (52) 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 5127553035072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8038823607360).

5127553035072 is an abundant number, since it is smaller than the sum of its proper divisors (10950094179648).

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

5127553035072 is a wasteful number, since it uses less digits than its factorization.

5127553035072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16302 (or 16289 counting only the distinct ones).

The product of its (nonzero) digits is 1102500, while the sum is 45.

The spelling of 5127553035072 in words is "five trillion, one hundred twenty-seven billion, five hundred fifty-three million, thirty-five thousand, seventy-two".