853981470720 has 2016 divisors, whose sum is σ = 3817919484288. Its totient is φ = 181930033152.

The previous prime is 853981470697. The next prime is 853981470721. The reversal of 853981470720 is 27074189358.

It is a happy number.

853981470720 is a `hidden beast` number, since 8 + 539 + 8 + 14 + 70 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is not an unprimeable number, because it can be changed into a prime (853981470721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8291082189 + ... + 8291082291.

It is an arithmetic number, because the mean of its divisors is an integer number (1893809268).

Almost surely, 2^853981470720 is an apocalyptic number.

853981470720 is a gapful number since it is divisible by the number (80) 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 853981470720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1908959742144).

853981470720 is an abundant number, since it is smaller than the sum of its proper divisors (2963938013568).

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

853981470720 is a wasteful number, since it uses less digits than its factorization.

853981470720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 853981470720 in words is "eight hundred fifty-three billion, nine hundred eighty-one million, four hundred seventy thousand, seven hundred twenty".