1885428679680 has 2772 divisors, whose sum is σ = 8681742287172. Its totient is φ = 391283343360.

The previous prime is 1885428679669. The next prime is 1885428679691. The reversal of 1885428679680 is 869768245881.

1885428679680 is a `hidden beast` number, since 1 + 8 + 8 + 542 + 8 + 6 + 79 + 6 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1885428679669) and next prime (1885428679691).

It can be written as a sum of positive squares in 6 ways, for example, as 901618615296 + 983810064384 = 949536^2 + 991872^2 .

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 1885428679599 and 1885428679608.

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 30908666850 + ... + 30908666910.

Almost surely, 2^{1885428679680} is an apocalyptic number.

1885428679680 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 1885428679680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4340871143586).

1885428679680 is an abundant number, since it is smaller than the sum of its proper divisors (6796313607492).

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

1885428679680 is an equidigital number, since it uses as much as digits as its factorization.

1885428679680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 371589120, while the sum is 72.

The spelling of 1885428679680 in words is "one trillion, eight hundred eighty-five billion, four hundred twenty-eight million, six hundred seventy-nine thousand, six hundred eighty".