1011566016 has 112 divisors (see below), whose sum is σ = 3002158080. Its totient is φ = 333976320.

The previous prime is 1011565993. The next prime is 1011566027. The reversal of 1011566016 is 6106651101.

1011566016 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 56 + 601 + 6 = 666.

It is a super-2 number, since 2×1011566016² = 2046531609452224512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182161 + ... + 187631.

Almost surely, 2^1011566016 is an apocalyptic number.

1011566016 is a gapful number since it is divisible by the number (16) 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 1011566016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1501079040).

1011566016 is an abundant number, since it is smaller than the sum of its proper divisors (1990592064).

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

1011566016 is a wasteful number, since it uses less digits than its factorization.

1011566016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5599 (or 5583 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 1011566016 is about 31805.1256246536. The cubic root of 1011566016 is about 1003.8405698074.

It can be divided in two parts, 101156601 and 6, that multiplied together give a palindrome (606939606).

The spelling of 1011566016 in words is "one billion, eleven million, five hundred sixty-six thousand, sixteen".