1016618786820 has 540 divisors, whose sum is σ = 4017229737444. Its totient is φ = 214492561920.

The previous prime is 1016618786773. The next prime is 1016618786851. The reversal of 1016618786820 is 286878166101.

It is a happy number.

1016618786820 is a `hidden beast` number, since 1 + 0 + 16 + 618 + 7 + 8 + 6 + 8 + 2 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 346683084804 + 669935702016 = 588798^2 + 818496^2 .

It is a tau number, because it is divible by the number of its divisors (540).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 13377330 + ... + 13453110.

Almost surely, 2^{1016618786820} is an apocalyptic number.

1016618786820 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 1016618786820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2008614868722).

1016618786820 is an abundant number, since it is smaller than the sum of its proper divisors (3000610950624).

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

1016618786820 is a wasteful number, since it uses less digits than its factorization.

1016618786820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75842 (or 75811 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 1016618786820 in words is "one trillion, sixteen billion, six hundred eighteen million, seven hundred eighty-six thousand, eight hundred twenty".