1069053007680 has 1680 divisors, whose sum is σ = 4760234360640. Its totient is φ = 226242035712.

The previous prime is 1069053007643. The next prime is 1069053007699. The reversal of 1069053007680 is 867003509601.

It is a happy number.

1069053007680 is a `hidden beast` number, since 106 + 9 + 0 + 530 + 0 + 7 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×1069053007680² (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 239 ways as a sum of consecutive naturals, for example, 1446620751 + ... + 1446621489.

Almost surely, 2^{1069053007680} is an apocalyptic number.

1069053007680 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 1069053007680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2380117180320).

1069053007680 is an abundant number, since it is smaller than the sum of its proper divisors (3691181352960).

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

1069053007680 is a wasteful number, since it uses less digits than its factorization.

1069053007680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 1069053007680 in words is "one trillion, sixty-nine billion, fifty-three million, seven thousand, six hundred eighty".