511140080 has 80 divisors (see below), whose sum is σ = 1341208800. Its totient is φ = 179450880.

The previous prime is 511140043. The next prime is 511140101. The reversal of 511140080 is 80041115.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×511140080² = 522528362764812800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15506 + ... + 35534.

It is an arithmetic number, because the mean of its divisors is an integer number (16765110).

Almost surely, 2^511140080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 511140080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670604400).

511140080 is an abundant number, since it is smaller than the sum of its proper divisors (830068720).

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

511140080 is a wasteful number, since it uses less digits than its factorization.

511140080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20082 (or 20076 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 20.

The square root of 511140080 is about 22608.4072857864. The cubic root of 511140080 is about 799.5518740258.

Adding to 511140080 its reverse (80041115), we get a palindrome (591181195).

The spelling of 511140080 in words is "five hundred eleven million, one hundred forty thousand, eighty".