1272710486628 has 288 divisors, whose sum is σ = 3881183674368. Its totient is φ = 344318765760.

The previous prime is 1272710486539. The next prime is 1272710486633. The reversal of 1272710486628 is 8266840172721.

1272710486628 is a `hidden beast` number, since 1 + 2 + 7 + 2 + 7 + 1 + 0 + 4 + 8 + 6 + 628 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 352842801 + ... + 352846407.

Almost surely, 2^{1272710486628} is an apocalyptic number.

1272710486628 is a gapful number since it is divisible by the number (18) 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 1272710486628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1940591837184).

1272710486628 is an abundant number, since it is smaller than the sum of its proper divisors (2608473187740).

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

1272710486628 is a wasteful number, since it uses less digits than its factorization.

1272710486628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3764 (or 3697 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 1272710486628 in words is "one trillion, two hundred seventy-two billion, seven hundred ten million, four hundred eighty-six thousand, six hundred twenty-eight".