320023505880 has 448 divisors, whose sum is σ = 1168432564320. Its totient is φ = 78382080000.

The previous prime is 320023505849. The next prime is 320023505899. The reversal of 320023505880 is 88505320023.

320023505880 is a `hidden beast` number, since 3 + 2 + 0 + 0 + 23 + 50 + 588 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 79983880 + ... + 79987880.

Almost surely, 2^320023505880 is an apocalyptic number.

320023505880 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 320023505880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584216282160).

320023505880 is an abundant number, since it is smaller than the sum of its proper divisors (848409058440).

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

320023505880 is a wasteful number, since it uses less digits than its factorization.

320023505880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4254 (or 4235 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 320023505880 in words is "three hundred twenty billion, twenty-three million, five hundred five thousand, eight hundred eighty".