1293747428160 has 168 divisors, whose sum is σ = 4854493309536. Its totient is φ = 313635732480.

The previous prime is 1293747428153. The next prime is 1293747428179. The reversal of 1293747428160 is 618247473921.

1293747428160 is a `hidden beast` number, since 1 + 2 + 9 + 3 + 7 + 474 + 2 + 8 + 160 = 666.

It is a super-2 number, since 2×1293747428160² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1293747428097 and 1293747428106.

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 23 ways as a sum of consecutive naturals, for example, 20387314 + ... + 20450673.

Almost surely, 2^{1293747428160} is an apocalyptic number.

1293747428160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1293747428160 is an abundant number, since it is smaller than the sum of its proper divisors (3560745881376).

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

1293747428160 is a wasteful number, since it uses less digits than its factorization.

1293747428160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40838021 (or 40838008 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 1293747428160 in words is "one trillion, two hundred ninety-three billion, seven hundred forty-seven million, four hundred twenty-eight thousand, one hundred sixty".