1011617927160 has 128 divisors (see below), whose sum is σ = 3145754050560. Its totient is φ = 259979212800.

The previous prime is 1011617927081. The next prime is 1011617927167. The reversal of 1011617927160 is 617297161101.

1011617927160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011617927167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 332329 + ... + 1460711.

It is an arithmetic number, because the mean of its divisors is an integer number (24576203520).

Almost surely, 2^{1011617927160} is an apocalyptic number.

1011617927160 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 1011617927160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572877025280).

1011617927160 is an abundant number, since it is smaller than the sum of its proper divisors (2134136123400).

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

1011617927160 is a wasteful number, since it uses less digits than its factorization.

1011617927160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128669 (or 1128665 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 42.

The spelling of 1011617927160 in words is "one trillion, eleven billion, six hundred seventeen million, nine hundred twenty-seven thousand, one hundred sixty".