1076286722560 has 640 divisors, whose sum is σ = 3201667223040. Its totient is φ = 338631327744.

The previous prime is 1076286722549. The next prime is 1076286722561. The reversal of 1076286722560 is 652276826701.

It is a tau number, because it is divible by the number of its divisors (640).

It is a junction number, because it is equal to n+sod(n) for n = 1076286722498 and 1076286722507.

It is not an unprimeable number, because it can be changed into a prime (1076286722561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4187885952 + ... + 4187886208.

It is an arithmetic number, because the mean of its divisors is an integer number (5002605036).

Almost surely, 2^{1076286722560} is an apocalyptic number.

1076286722560 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 1076286722560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1600833611520).

1076286722560 is an abundant number, since it is smaller than the sum of its proper divisors (2125380500480).

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

1076286722560 is a wasteful number, since it uses less digits than its factorization.

1076286722560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 52.

The spelling of 1076286722560 in words is "one trillion, seventy-six billion, two hundred eighty-six million, seven hundred twenty-two thousand, five hundred sixty".