1294057163160 has 768 divisors, whose sum is σ = 4634714972160. Its totient is φ = 324078796800.

The previous prime is 1294057163131. The next prime is 1294057163213. The reversal of 1294057163160 is 613617504921.

1294057163160 is a `hidden beast` number, since 1 + 2 + 9 + 4 + 0 + 5 + 7 + 1 + 631 + 6 + 0 = 666.

It is a super-2 number, since 2×1294057163160² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5035241752 + ... + 5035242008.

It is an arithmetic number, because the mean of its divisors is an integer number (6034785120).

Almost surely, 2^{1294057163160} is an apocalyptic number.

1294057163160 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 1294057163160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2317357486080).

1294057163160 is an abundant number, since it is smaller than the sum of its proper divisors (3340657809000).

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

1294057163160 is a wasteful number, since it uses less digits than its factorization.

1294057163160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 1294057163160 in words is "one trillion, two hundred ninety-four billion, fifty-seven million, one hundred sixty-three thousand, one hundred sixty".