1081235865600 has 1296 divisors, whose sum is σ = 4409727603120. Its totient is φ = 259522560000.

The previous prime is 1081235865583. The next prime is 1081235865601. The reversal of 1081235865600 is 65685321801.

1081235865600 is a `hidden beast` number, since 1 + 0 + 8 + 1 + 2 + 3 + 5 + 86 + 560 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1081235865601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10705305550 + ... + 10705305650.

It is an arithmetic number, because the mean of its divisors is an integer number (3402567595).

Almost surely, 2^{1081235865600} is an apocalyptic number.

1081235865600 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 1081235865600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2204863801560).

1081235865600 is an abundant number, since it is smaller than the sum of its proper divisors (3328491737520).

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

1081235865600 is an equidigital number, since it uses as much as digits as its factorization.

1081235865600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 1081235865600 in words is "one trillion, eighty-one billion, two hundred thirty-five million, eight hundred sixty-five thousand, six hundred".