1275164384256 has 1320 divisors, whose sum is σ = 4743701424000. Its totient is φ = 339446661120.

The previous prime is 1275164384251. The next prime is 1275164384269. The reversal of 1275164384256 is 6524834615721.

1275164384256 is a `hidden beast` number, since 1 + 2 + 7 + 5 + 1 + 6 + 4 + 384 + 256 = 666.

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 (1275164384251) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3653765970 + ... + 3653766318.

It is an arithmetic number, because the mean of its divisors is an integer number (3593713200).

Almost surely, 2^{1275164384256} is an apocalyptic number.

1275164384256 is a gapful number since it is divisible by the number (16) 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 1275164384256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2371850712000).

1275164384256 is an abundant number, since it is smaller than the sum of its proper divisors (3468537039744).

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

1275164384256 is a wasteful number, since it uses less digits than its factorization.

1275164384256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 421 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

Adding to 1275164384256 its reverse (6524834615721), we get a palindrome (7799998999977).

The spelling of 1275164384256 in words is "one trillion, two hundred seventy-five billion, one hundred sixty-four million, three hundred eighty-four thousand, two hundred fifty-six".