1275015168000 has 1792 divisors, whose sum is σ = 5542423922880. Its totient is φ = 286654464000.

The previous prime is 1275015167971. The next prime is 1275015168013. The reversal of 1275015168000 is 8615105721.

1275015168000 is a `hidden beast` number, since 1 + 27 + 501 + 51 + 6 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a super-3 number, since 3×1275015168000³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 20901887970 + ... + 20901888030.

Almost surely, 2^{1275015168000} is an apocalyptic number.

1275015168000 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 1275015168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2771211961440).

1275015168000 is an abundant number, since it is smaller than the sum of its proper divisors (4267408754880).

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

1275015168000 is an frugal number, since it uses more digits than its factorization.

1275015168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 36.

The spelling of 1275015168000 in words is "one trillion, two hundred seventy-five billion, fifteen million, one hundred sixty-eight thousand".