511720000 has 140 divisors (see below), whose sum is σ = 1385444016. Its totient is φ = 185920000.

The previous prime is 511719997. The next prime is 511720003. The reversal of 511720000 is 27115.

It is an interprime number because it is at equal distance from previous prime (511719997) and next prime (511720003).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (511720003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 439419 + ... + 440581.

Almost surely, 2^511720000 is an apocalyptic number.

511720000 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 511720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692722008).

511720000 is an abundant number, since it is smaller than the sum of its proper divisors (873724016).

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

511720000 is a wasteful number, since it uses less digits than its factorization.

511720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 16.

The square root of 511720000 is about 22621.2289674986. The cubic root of 511720000 is about 799.8541400744.

Adding to 511720000 its reverse (27115), we get a palindrome (511747115).

The spelling of 511720000 in words is "five hundred eleven million, seven hundred twenty thousand".