1292076826560 has 1120 divisors, whose sum is σ = 5052610590720. Its totient is φ = 311521738752.

The previous prime is 1292076826559. The next prime is 1292076826571. The reversal of 1292076826560 is 656286702921.

1292076826560 is a `hidden beast` number, since 1 + 2 + 9 + 2 + 0 + 76 + 8 + 2 + 6 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1292076826497 and 1292076826506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4664537142 + ... + 4664537418.

It is an arithmetic number, because the mean of its divisors is an integer number (4511259456).

Almost surely, 2^{1292076826560} is an apocalyptic number.

1292076826560 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 1292076826560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2526305295360).

1292076826560 is an abundant number, since it is smaller than the sum of its proper divisors (3760533764160).

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

1292076826560 is a wasteful number, since it uses less digits than its factorization.

1292076826560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 536 counting only the distinct ones).

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

The spelling of 1292076826560 in words is "one trillion, two hundred ninety-two billion, seventy-six million, eight hundred twenty-six thousand, five hundred sixty".