507783897000 has 640 divisors, whose sum is σ = 1885712400000. Its totient is φ = 127016294400.

The previous prime is 507783896969. The next prime is 507783897007. The reversal of 507783897000 is 798387705.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (507783897007) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 687122631 + ... + 687123369.

It is an arithmetic number, because the mean of its divisors is an integer number (2946425625).

Almost surely, 2^507783897000 is an apocalyptic number.

507783897000 is a gapful number since it is divisible by the number (50) 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 507783897000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942856200000).

507783897000 is an abundant number, since it is smaller than the sum of its proper divisors (1377928503000).

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

507783897000 is a wasteful number, since it uses less digits than its factorization.

507783897000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The spelling of 507783897000 in words is "five hundred seven billion, seven hundred eighty-three million, eight hundred ninety-seven thousand".