1061132780448 has 864 divisors, whose sum is σ = 3480791408640. Its totient is φ = 306142986240.

The previous prime is 1061132780419. The next prime is 1061132780459. The reversal of 1061132780448 is 8440872311601.

1061132780448 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 132 + 78 + 0 + 448 = 666.

It is a super-2 number, since 2×1061132780448² (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 143 ways as a sum of consecutive naturals, for example, 8355376161 + ... + 8355376287.

It is an arithmetic number, because the mean of its divisors is an integer number (4028693760).

Almost surely, 2^{1061132780448} is an apocalyptic number.

1061132780448 is a gapful number since it is divisible by the number (18) 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 1061132780448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740395704320).

1061132780448 is an abundant number, since it is smaller than the sum of its proper divisors (2419658628192).

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

1061132780448 is a wasteful number, since it uses less digits than its factorization.

1061132780448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 1061132780448 in words is "one trillion, sixty-one billion, one hundred thirty-two million, seven hundred eighty thousand, four hundred forty-eight".