1856347279920 has 640 divisors, whose sum is σ = 7585274511360. Its totient is φ = 408333312000.

The previous prime is 1856347279879. The next prime is 1856347279931. The reversal of 1856347279920 is 299727436581.

1856347279920 is a `hidden beast` number, since 1 + 8 + 5 + 6 + 3 + 472 + 79 + 92 + 0 = 666.

It is a Smith number, since the sum of its digits (63) 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 (63).

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 127 ways as a sum of consecutive naturals, for example, 84827380 + ... + 84849260.

It is an arithmetic number, because the mean of its divisors is an integer number (11851991424).

It is a 2-persistent number, because it is pandigital, and so is 2⋅1856347279920 = 3712694559840, but 3⋅1856347279920 = 5569041839760 is not.

Almost surely, 2^{1856347279920} is an apocalyptic number.

1856347279920 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 1856347279920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3792637255680).

1856347279920 is an abundant number, since it is smaller than the sum of its proper divisors (5728927231440).

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

1856347279920 is a wasteful number, since it uses less digits than its factorization.

1856347279920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22122 (or 22110 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 1856347279920 in words is "one trillion, eight hundred fifty-six billion, three hundred forty-seven million, two hundred seventy-nine thousand, nine hundred twenty".