320975853158400 has 1536 divisors, whose sum is σ = 1199986072761600. Its totient is φ = 75030436249600.

The previous prime is 320975853158377. The next prime is 320975853158449. The reversal of 320975853158400 is 4851358579023.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84534065302 + ... + 84534069098.

Almost surely, 2^{320975853158400} is an apocalyptic number.

320975853158400 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 320975853158400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599993036380800).

320975853158400 is an abundant number, since it is smaller than the sum of its proper divisors (879010219603200).

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

320975853158400 is a wasteful number, since it uses less digits than its factorization.

320975853158400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3963 (or 3930 counting only the distinct ones).

The product of its (nonzero) digits is 36288000, while the sum is 60.

The spelling of 320975853158400 in words is "three hundred twenty trillion, nine hundred seventy-five billion, eight hundred fifty-three million, one hundred fifty-eight thousand, four hundred".