320153253000 has 512 divisors, whose sum is σ = 1169686103040. Its totient is φ = 71398195200.

The previous prime is 320153252989. The next prime is 320153253041. The reversal of 320153253000 is 352351023.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 148699924 + ... + 148702076.

It is an arithmetic number, because the mean of its divisors is an integer number (2284543170).

Almost surely, 2^320153253000 is an apocalyptic number.

320153253000 is a gapful number since it is divisible by the number (30) 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 320153253000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584843051520).

320153253000 is an abundant number, since it is smaller than the sum of its proper divisors (849532850040).

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

320153253000 is a wasteful number, since it uses less digits than its factorization.

320153253000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2354 (or 2340 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 24.

The spelling of 320153253000 in words is "three hundred twenty billion, one hundred fifty-three million, two hundred fifty-three thousand".