1072829266560 has 1920 divisors, whose sum is σ = 4422681648000. Its totient is φ = 246781624320.

The previous prime is 1072829266519. The next prime is 1072829266567. The reversal of 1072829266560 is 656629282701.

1072829266560 is a `hidden beast` number, since 1 + 0 + 72 + 8 + 2 + 9 + 2 + 6 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 = 1072829266497 and 1072829266506.

It is not an unprimeable number, because it can be changed into a prime (1072829266567) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 15110271325 + ... + 15110271395.

It is an arithmetic number, because the mean of its divisors is an integer number (2303480025).

Almost surely, 2^{1072829266560} is an apocalyptic number.

1072829266560 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 1072829266560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2211340824000).

1072829266560 is an abundant number, since it is smaller than the sum of its proper divisors (3349852381440).

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

1072829266560 is a wasteful number, since it uses less digits than its factorization.

1072829266560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 152 counting only the distinct ones).

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

The spelling of 1072829266560 in words is "one trillion, seventy-two billion, eight hundred twenty-nine million, two hundred sixty-six thousand, five hundred sixty".