853553272320 has 1600 divisors, whose sum is σ = 3749757428736. Its totient is φ = 181308948480.

The previous prime is 853553272301. The next prime is 853553272321. The reversal of 853553272320 is 23272355358.

853553272320 is a `hidden beast` number, since 8 + 5 + 3 + 5 + 53 + 272 + 320 = 666.

853553272320 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (853553272321) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1235243175 + ... + 1235243865.

Almost surely, 2^853553272320 is an apocalyptic number.

853553272320 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 853553272320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1874878714368).

853553272320 is an abundant number, since it is smaller than the sum of its proper divisors (2896204156416).

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

853553272320 is a wasteful number, since it uses less digits than its factorization.

853553272320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 45.

The spelling of 853553272320 in words is "eight hundred fifty-three billion, five hundred fifty-three million, two hundred seventy-two thousand, three hundred twenty".