1249006786560 has 1152 divisors, whose sum is σ = 4886145089280. Its totient is φ = 293024563200.

The previous prime is 1249006786553. The next prime is 1249006786597. The reversal of 1249006786560 is 656876009421.

1249006786560 is a `hidden beast` number, since 1 + 2 + 4 + 9 + 0 + 0 + 6 + 78 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a junction number, because it is equal to n+sod(n) for n = 1249006786497 and 1249006786506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2308699890 + ... + 2308700430.

It is an arithmetic number, because the mean of its divisors is an integer number (4241445390).

Almost surely, 2^{1249006786560} is an apocalyptic number.

1249006786560 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 1249006786560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2443072544640).

1249006786560 is an abundant number, since it is smaller than the sum of its proper divisors (3637138302720).

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

1249006786560 is a wasteful number, since it uses less digits than its factorization.

1249006786560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 652 counting only the distinct ones).

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

The spelling of 1249006786560 in words is "one trillion, two hundred forty-nine billion, six million, seven hundred eighty-six thousand, five hundred sixty".