1782564853920 has 96 divisors (see below), whose sum is σ = 5615281288512. Its totient is φ = 475333527552.

The previous prime is 1782564853781. The next prime is 1782564853933. The reversal of 1782564853920 is 293584652871.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18885564 + ... + 18979716.

It is an arithmetic number, because the mean of its divisors is an integer number (58492513422).

It is a 2-persistent number, because it is pandigital, and so is 2⋅1782564853920 = 3565129707840, but 3⋅1782564853920 = 5347694561760 is not.

Almost surely, 2^{1782564853920} is an apocalyptic number.

1782564853920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1782564853920 is an abundant number, since it is smaller than the sum of its proper divisors (3832716434592).

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

1782564853920 is a wasteful number, since it uses less digits than its factorization.

1782564853920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133614 (or 133606 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 60.

It can be divided in two parts, 17825 and 64853920, that added together give a triangular number (64871745 = T₁₁₃₉₀).

The spelling of 1782564853920 in words is "one trillion, seven hundred eighty-two billion, five hundred sixty-four million, eight hundred fifty-three thousand, nine hundred twenty".