127985062500 has 441 divisors, whose sum is σ = 427822902703. Its totient is φ = 33485400000.

The previous prime is 127985062487. The next prime is 127985062501. The reversal of 127985062500 is 5260589721.

The square root of 127985062500 is 357750.

It is a perfect power (a square), and thus also a powerful number.

127985062500 is a `hidden beast` number, since 1 + 2 + 7 + 9 + 85 + 0 + 62 + 500 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 123087302244 + 4897760256 = 350838^2 + 69984^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (127985062501) by changing a digit.

It is a polite number, since it can be written in 146 ways as a sum of consecutive naturals, for example, 2414812474 + ... + 2414812526.

Almost surely, 2^127985062500 is an apocalyptic number.

127985062500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

127985062500 is the 357750-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127985062500

127985062500 is an abundant number, since it is smaller than the sum of its proper divisors (299837840203).

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

127985062500 is an frugal number, since it uses more digits than its factorization.

127985062500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 127985062500 in words is "one hundred twenty-seven billion, nine hundred eighty-five million, sixty-two thousand, five hundred".