1275435956080 has 480 divisors, whose sum is σ = 3605993344512. Its totient is φ = 415697817600.

The previous prime is 1275435956077. The next prime is 1275435956087. The reversal of 1275435956080 is 806595345721.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1275435956087) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 811861695 + ... + 811863265.

It is a 1-persistent number, because it is pandigital, but 2⋅1275435956080 = 2550871912160 is not.

Almost surely, 2^{1275435956080} is an apocalyptic number.

1275435956080 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 1275435956080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1802996672256).

1275435956080 is an abundant number, since it is smaller than the sum of its proper divisors (2330557388432).

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

1275435956080 is a wasteful number, since it uses less digits than its factorization.

1275435956080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1777 (or 1758 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 55.

The spelling of 1275435956080 in words is "one trillion, two hundred seventy-five billion, four hundred thirty-five million, nine hundred fifty-six thousand, eighty".