1252771752960 has 528 divisors, whose sum is σ = 5342567420736. Its totient is φ = 264320188416.

The previous prime is 1252771752907. The next prime is 1252771752971. The reversal of 1252771752960 is 692571772521.

1252771752960 is a `hidden beast` number, since 1 + 2 + 52 + 7 + 7 + 1 + 7 + 529 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1252771752897 and 1252771752906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4043902 + ... + 4342658.

Almost surely, 2^{1252771752960} is an apocalyptic number.

1252771752960 is a gapful number since it is divisible by the number (10) 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 1252771752960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2671283710368).

1252771752960 is an abundant number, since it is smaller than the sum of its proper divisors (4089795667776).

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

1252771752960 is a wasteful number, since it uses less digits than its factorization.

1252771752960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298808 (or 298787 counting only the distinct ones).

The product of its (nonzero) digits is 3704400, while the sum is 54.

The spelling of 1252771752960 in words is "one trillion, two hundred fifty-two billion, seven hundred seventy-one million, seven hundred fifty-two thousand, nine hundred sixty".