495750988320 has 768 divisors, whose sum is σ = 1976854118400. Its totient is φ = 101881774080.

The previous prime is 495750988237. The next prime is 495750988321. The reversal of 495750988320 is 23889057594.

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

It is not an unprimeable number, because it can be changed into a prime (495750988321) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 96842721 + ... + 96847839.

It is an arithmetic number, because the mean of its divisors is an integer number (2574028800).

Almost surely, 2^495750988320 is an apocalyptic number.

495750988320 is a gapful number since it is divisible by the number (40) 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 495750988320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988427059200).

495750988320 is an abundant number, since it is smaller than the sum of its proper divisors (1481103130080).

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

495750988320 is a wasteful number, since it uses less digits than its factorization.

495750988320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5241 (or 5233 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 60.

The spelling of 495750988320 in words is "four hundred ninety-five billion, seven hundred fifty million, nine hundred eighty-eight thousand, three hundred twenty".