320090265000 has 640 divisors, whose sum is σ = 1217310336000. Its totient is φ = 77263200000.

The previous prime is 320090264987. The next prime is 320090265049. The reversal of 320090265000 is 562090023.

320090265000 is a `hidden beast` number, since 3 + 2 + 0 + 0 + 9 + 0 + 2 + 650 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 651914755 + ... + 651915245.

It is an arithmetic number, because the mean of its divisors is an integer number (1902047400).

Almost surely, 2^320090265000 is an apocalyptic number.

320090265000 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 320090265000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608655168000).

320090265000 is an abundant number, since it is smaller than the sum of its proper divisors (897220071000).

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

320090265000 is a wasteful number, since it uses less digits than its factorization.

320090265000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The spelling of 320090265000 in words is "three hundred twenty billion, ninety million, two hundred sixty-five thousand".