1011005110560 has 96 divisors (see below), whose sum is σ = 3238643580480. Its totient is φ = 265031840768.

The previous prime is 1011005110523. The next prime is 1011005110561. The reversal of 1011005110560 is 650115001101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (1011005110561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17821347 + ... + 17877986.

It is an arithmetic number, because the mean of its divisors is an integer number (33735870630).

Almost surely, 2^{1011005110560} is an apocalyptic number.

1011005110560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011005110560 is an abundant number, since it is smaller than the sum of its proper divisors (2227638469920).

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

1011005110560 is a wasteful number, since it uses less digits than its factorization.

1011005110560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35699410 (or 35699402 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 21.

The spelling of 1011005110560 in words is "one trillion, eleven billion, five million, one hundred ten thousand, five hundred sixty".