1081530777600 has 1944 divisors, whose sum is σ = 4949192731392. Its totient is φ = 220830105600.

The previous prime is 1081530777571. The next prime is 1081530777617. The reversal of 1081530777600 is 67770351801.

1081530777600 is a `hidden beast` number, since 1 + 0 + 8 + 1 + 5 + 30 + 7 + 7 + 7 + 600 = 666.

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 107 ways as a sum of consecutive naturals, for example, 34888089585 + ... + 34888089615.

Almost surely, 2^{1081530777600} is an apocalyptic number.

1081530777600 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 1081530777600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2474596365696).

1081530777600 is an abundant number, since it is smaller than the sum of its proper divisors (3867661953792).

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

1081530777600 is an equidigital number, since it uses as much as digits as its factorization.

1081530777600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 45.

The spelling of 1081530777600 in words is "one trillion, eighty-one billion, five hundred thirty million, seven hundred seventy-seven thousand, six hundred".