920382114960 has 720 divisors, whose sum is σ = 4026727356288. Its totient is φ = 191244810240.

The previous prime is 920382114881. The next prime is 920382114979. The reversal of 920382114960 is 69411283029.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16437732 + ... + 16493628.

Almost surely, 2^920382114960 is an apocalyptic number.

920382114960 is a gapful number since it is divisible by the number (90) 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 920382114960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2013363678144).

920382114960 is an abundant number, since it is smaller than the sum of its proper divisors (3106345241328).

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

920382114960 is a wasteful number, since it uses less digits than its factorization.

920382114960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55954 (or 55925 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

Adding to 920382114960 its reverse (69411283029), we get a palindrome (989793397989).

The spelling of 920382114960 in words is "nine hundred twenty billion, three hundred eighty-two million, one hundred fourteen thousand, nine hundred sixty".