1061956183680 has 576 divisors, whose sum is σ = 4423179571200. Its totient is φ = 229954277376.

The previous prime is 1061956183667. The next prime is 1061956183727. The reversal of 1061956183680 is 863816591601.

1061956183680 is a `hidden beast` number, since 1 + 0 + 6 + 19 + 5 + 618 + 3 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×1061956183680² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14519041 + ... + 14591999.

It is an arithmetic number, because the mean of its divisors is an integer number (7679131200).

Almost surely, 2^{1061956183680} is an apocalyptic number.

1061956183680 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 1061956183680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2211589785600).

1061956183680 is an abundant number, since it is smaller than the sum of its proper divisors (3361223387520).

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

1061956183680 is a wasteful number, since it uses less digits than its factorization.

1061956183680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73029 (or 72995 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 1061956183680 in words is "one trillion, sixty-one billion, nine hundred fifty-six million, one hundred eighty-three thousand, six hundred eighty".