1072086293056 has 63 divisors (see below), whose sum is σ = 2203804017961. Its totient is φ = 517442933504.

The previous prime is 1072086293041. The next prime is 1072086293059. The reversal of 1072086293056 is 6503926802701.

The square root of 1072086293056 is 1035416.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 562176046656 + 509910246400 = 749784^2 + 714080^2 .

It is a super-2 number, since 2×1072086293056² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1072086293059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 240214281 + ... + 240218743.

Almost surely, 2^{1072086293056} is an apocalyptic number.

1072086293056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1072086293056 is the 1035416-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1072086293056

1072086293056 is an abundant number, since it is smaller than the sum of its proper divisors (1131717724905).

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

1072086293056 is an frugal number, since it uses more digits than its factorization.

1072086293056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8996 (or 4494 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 49.

Multiplying 1072086293056 by its sum of digits (49), we get a square (52532228359744 = 7247912²).

The spelling of 1072086293056 in words is "one trillion, seventy-two billion, eighty-six million, two hundred ninety-three thousand, fifty-six".