1272609571680 has 240 divisors, whose sum is σ = 4548106221120. Its totient is φ = 335066554368.

The previous prime is 1272609571661. The next prime is 1272609571687. The reversal of 1272609571680 is 861759062721.

1272609571680 is a `hidden beast` number, since 1 + 2 + 7 + 2 + 6 + 0 + 9 + 571 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1272609571687) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 402352 + ... + 1645328.

It is an arithmetic number, because the mean of its divisors is an integer number (18950442588).

Almost surely, 2^{1272609571680} is an apocalyptic number.

1272609571680 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 1272609571680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2274053110560).

1272609571680 is an abundant number, since it is smaller than the sum of its proper divisors (3275496649440).

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

1272609571680 is a wasteful number, since it uses less digits than its factorization.

1272609571680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243083 (or 1243066 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 1272609571680 in words is "one trillion, two hundred seventy-two billion, six hundred nine million, five hundred seventy-one thousand, six hundred eighty".