1252776886272 has 300 divisors, whose sum is σ = 3962983188780. Its totient is φ = 393020964864.

The previous prime is 1252776886253. The next prime is 1252776886349. The reversal of 1252776886272 is 2726886772521.

1252776886272 is a `hidden beast` number, since 1 + 2 + 527 + 7 + 6 + 8 + 86 + 27 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 375602282496 + 877174603776 = 612864^2 + 936576^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 22533004 + ... + 22588532.

Almost surely, 2^{1252776886272} is an apocalyptic number.

1252776886272 is a gapful number since it is divisible by the number (12) 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 1252776886272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1981491594390).

1252776886272 is an abundant number, since it is smaller than the sum of its proper divisors (2710206302508).

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

1252776886272 is an frugal number, since it uses more digits than its factorization.

1252776886272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55586 (or 55551 counting only the distinct ones).

The product of its digits is 63221760, while the sum is 63.

The spelling of 1252776886272 in words is "one trillion, two hundred fifty-two billion, seven hundred seventy-six million, eight hundred eighty-six thousand, two hundred seventy-two".