1016928596160 has 224 divisors, whose sum is σ = 3603592366080. Its totient is φ = 269964389376.

The previous prime is 1016928596149. The next prime is 1016928596219. The reversal of 1016928596160 is 616958296101.

1016928596160 is a `hidden beast` number, since 1 + 0 + 16 + 9 + 2 + 8 + 5 + 9 + 616 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1016928596097 and 1016928596106.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1662819 + ... + 2190621.

It is an arithmetic number, because the mean of its divisors is an integer number (16087465920).

Almost surely, 2^{1016928596160} is an apocalyptic number.

1016928596160 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 1016928596160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1801796183040).

1016928596160 is an abundant number, since it is smaller than the sum of its proper divisors (2586663769920).

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

1016928596160 is a wasteful number, since it uses less digits than its factorization.

1016928596160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528052 (or 528036 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 1016928596160 in words is "one trillion, sixteen billion, nine hundred twenty-eight million, five hundred ninety-six thousand, one hundred sixty".