1065070625760 has 1152 divisors, whose sum is σ = 4112822697984. Its totient is φ = 249707888640.

The previous prime is 1065070625711. The next prime is 1065070625779. The reversal of 1065070625760 is 675260705601.

1065070625760 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 0 + 70 + 6 + 2 + 576 + 0 = 666.

It is a super-2 number, since 2×1065070625760² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4144243552 + ... + 4144243808.

It is an arithmetic number, because the mean of its divisors is an integer number (3570158592).

Almost surely, 2^{1065070625760} is an apocalyptic number.

1065070625760 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 1065070625760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2056411348992).

1065070625760 is an abundant number, since it is smaller than the sum of its proper divisors (3047752072224).

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

1065070625760 is a wasteful number, since it uses less digits than its factorization.

1065070625760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 1065070625760 in words is "one trillion, sixty-five billion, seventy million, six hundred twenty-five thousand, seven hundred sixty".