1062268010496 has 1024 divisors, whose sum is σ = 4058682163200. Its totient is φ = 266482483200.

The previous prime is 1062268010477. The next prime is 1062268010533. The reversal of 1062268010496 is 6940108622601.

1062268010496 is a `hidden beast` number, since 1 + 0 + 62 + 26 + 80 + 1 + 0 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a super-2 number, since 2×1062268010496² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2111864581 + ... + 2111865083.

It is an arithmetic number, because the mean of its divisors is an integer number (3963556800).

Almost surely, 2^{1062268010496} is an apocalyptic number.

1062268010496 is a gapful number since it is divisible by the number (16) 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 1062268010496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2029341081600).

1062268010496 is an abundant number, since it is smaller than the sum of its proper divisors (2996414152704).

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

1062268010496 is an equidigital number, since it uses as much as digits as its factorization.

1062268010496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 1062268010496 in words is "one trillion, sixty-two billion, two hundred sixty-eight million, ten thousand, four hundred ninety-six".