1275962163840 has 1536 divisors, whose sum is σ = 5960140704000. Its totient is φ = 255003033600.

The previous prime is 1275962163793. The next prime is 1275962163863. The reversal of 1275962163840 is 483612695721.

It is a happy number.

1275962163840 is a `hidden beast` number, since 1 + 2 + 7 + 5 + 9 + 621 + 6 + 3 + 8 + 4 + 0 = 666.

It is a super-3 number, since 3×1275962163840³ (a number of 37 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 209136790 + ... + 209142890.

It is a 3-persistent number, because k⋅1275962163840 is pandigital for 1 ≤ k ≤ 3, but not for k = 4.

Almost surely, 2^{1275962163840} is an apocalyptic number.

1275962163840 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 1275962163840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2980070352000).

1275962163840 is an abundant number, since it is smaller than the sum of its proper divisors (4684178540160).

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

1275962163840 is a wasteful number, since it uses less digits than its factorization.

1275962163840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6175 (or 6150 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 1275962163840 in words is "one trillion, two hundred seventy-five billion, nine hundred sixty-two million, one hundred sixty-three thousand, eight hundred forty".