1101054255840 has 288 divisors, whose sum is σ = 4684485851136. Its totient is φ = 228790471680.

The previous prime is 1101054255839. The next prime is 1101054255871. The reversal of 1101054255840 is 485524501011.

1101054255840 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 0 + 54 + 25 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 1101054255795 and 1101054255804.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 4854192 + ... + 5075951.

It is an arithmetic number, because the mean of its divisors is an integer number (16265575872).

Almost surely, 2^{1101054255840} is an apocalyptic number.

1101054255840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1101054255840 is an abundant number, since it is smaller than the sum of its proper divisors (3583431595296).

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

1101054255840 is a wasteful number, since it uses less digits than its factorization.

1101054255840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9930182 (or 9930171 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 36.

Adding to 1101054255840 its reverse (485524501011), we get a palindrome (1586578756851).

The spelling of 1101054255840 in words is "one trillion, one hundred one billion, fifty-four million, two hundred fifty-five thousand, eight hundred forty".