1293678760000 has 525 divisors, whose sum is σ = 3605346775195. Its totient is φ = 460419520000.

The previous prime is 1293678759959. The next prime is 1293678760019. The reversal of 1293678760000 is 678763921.

It is a happy number.

The square root of 1293678760000 is 1137400.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 101424414784 + 1192254345216 = 318472^2 + 1091904^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 27525079977 + ... + 27525080023.

Almost surely, 2^{1293678760000} is an apocalyptic number.

1293678760000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1293678760000 is the 1137400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1293678760000

1293678760000 is an abundant number, since it is smaller than the sum of its proper divisors (2311668015195).

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

1293678760000 is an frugal number, since it uses more digits than its factorization.

1293678760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 49.

Multiplying 1293678760000 by its sum of digits (49), we get a square (63390259240000 = 7961800²).

The spelling of 1293678760000 in words is "one trillion, two hundred ninety-three billion, six hundred seventy-eight million, seven hundred sixty thousand".