10116566460 has 648 divisors, whose sum is σ = 42236537616. Its totient is φ = 1937295360.

The previous prime is 10116566459. The next prime is 10116566477. The reversal of 10116566460 is 6466561101.

It is a happy number.

10116566460 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 6 + 5 + 6 + 646 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 16396072 + ... + 16396688.

It is an arithmetic number, because the mean of its divisors is an integer number (65179842).

Almost surely, 2^10116566460 is an apocalyptic number.

10116566460 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 10116566460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21118268808).

10116566460 is an abundant number, since it is smaller than the sum of its proper divisors (32119971156).

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

10116566460 is a wasteful number, since it uses less digits than its factorization.

10116566460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

It can be divided in two parts, 101 and 16566460, that added together give a palindrome (16566561).

The spelling of 10116566460 in words is "ten billion, one hundred sixteen million, five hundred sixty-six thousand, four hundred sixty".