1011217410560 has 160 divisors (see below), whose sum is σ = 2781465046272. Its totient is φ = 345383239680.

The previous prime is 1011217410527. The next prime is 1011217410569. The reversal of 1011217410560 is 650147121101.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (1011217410569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4605680 + ... + 4820240.

Almost surely, 2^{1011217410560} is an apocalyptic number.

1011217410560 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 1011217410560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1390732523136).

1011217410560 is an abundant number, since it is smaller than the sum of its proper divisors (1770247635712).

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

1011217410560 is an equidigital number, since it uses as much as digits as its factorization.

1011217410560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214854 (or 214838 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 29.

The spelling of 1011217410560 in words is "one trillion, eleven billion, two hundred seventeen million, four hundred ten thousand, five hundred sixty".