1272853219680 has 2880 divisors, whose sum is σ = 5886546462720. Its totient is φ = 257093222400.

The previous prime is 1272853219667. The next prime is 1272853219717. The reversal of 1272853219680 is 869123582721.

1272853219680 is a `hidden beast` number, since 1 + 2 + 7 + 28 + 532 + 1 + 9 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 15335580919 + ... + 15335581001.

It is an arithmetic number, because the mean of its divisors is an integer number (2043939744).

Almost surely, 2^{1272853219680} is an apocalyptic number.

1272853219680 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 1272853219680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2943273231360).

1272853219680 is an abundant number, since it is smaller than the sum of its proper divisors (4613693243040).

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

1272853219680 is a wasteful number, since it uses less digits than its factorization.

1272853219680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 1272853219680 in words is "one trillion, two hundred seventy-two billion, eight hundred fifty-three million, two hundred nineteen thousand, six hundred eighty".