127628156250 has 504 divisors, whose sum is σ = 418196522016. Its totient is φ = 29172150000.

The previous prime is 127628156231. The next prime is 127628156267. The reversal of 127628156250 is 52651826721.

127628156250 is a `hidden beast` number, since 1 + 2 + 7 + 6 + 2 + 8 + 15 + 625 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 127628156196 and 127628156205.

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 251 ways as a sum of consecutive naturals, for example, 18232593747 + ... + 18232593753.

It is an arithmetic number, because the mean of its divisors is an integer number (829755004).

Almost surely, 2^127628156250 is an apocalyptic number.

127628156250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 127628156250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209098261008).

127628156250 is an abundant number, since it is smaller than the sum of its proper divisors (290568365766).

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

127628156250 is an frugal number, since it uses more digits than its factorization.

127628156250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 127628156250 in words is "one hundred twenty-seven billion, six hundred twenty-eight million, one hundred fifty-six thousand, two hundred fifty".