1081355070600 has 960 divisors, whose sum is σ = 4556978870400. Its totient is φ = 232001003520.

The previous prime is 1081355070599. The next prime is 1081355070641. The reversal of 1081355070600 is 60705531801.

1081355070600 is a `hidden beast` number, since 10 + 8 + 1 + 35 + 5 + 0 + 7 + 0 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1258852971 + ... + 1258853829.

It is an arithmetic number, because the mean of its divisors is an integer number (4746852990).

Almost surely, 2^{1081355070600} is an apocalyptic number.

1081355070600 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 1081355070600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2278489435200).

1081355070600 is an abundant number, since it is smaller than the sum of its proper divisors (3475623799800).

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

1081355070600 is a wasteful number, since it uses less digits than its factorization.

1081355070600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1564 (or 1546 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 1081355070600 in words is "one trillion, eighty-one billion, three hundred fifty-five million, seventy thousand, six hundred".