1273901035680 has 2880 divisors, whose sum is σ = 6188757553440. Its totient is φ = 243465191424.

The previous prime is 1273901035669. The next prime is 1273901035711. The reversal of 1273901035680 is 865301093721.

1273901035680 is a `hidden beast` number, since 1 + 2 + 73 + 9 + 0 + 10 + 3 + 568 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 5601624336 + 1268299411344 = 74844^2 + 1126188^2 .

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

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, 4069971204 + ... + 4069971516.

Almost surely, 2^{1273901035680} is an apocalyptic number.

1273901035680 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 1273901035680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3094378776720).

1273901035680 is an abundant number, since it is smaller than the sum of its proper divisors (4914856517760).

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

1273901035680 is a wasteful number, since it uses less digits than its factorization.

1273901035680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 1273901035680 in words is "one trillion, two hundred seventy-three billion, nine hundred one million, thirty-five thousand, six hundred eighty".